The group of all possible dependent values that a function or relation can produce from its domain values is known as its range. It consists of every potential output.
In the given question we have to explain what is range in relation and function.
The range refers to all the entities (output) that result from a relation or function. The Range set is made up of all used output values (dependent values).
The group of all possible dependent values that a function or relation can produce from its domain values is known as its range. It consists of every potential output.
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Find the Value of sin180
Find the values of x and y.
The value of x is 5.
The value of y is 40°.
What is a triangle?It is a two dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
We have,
A composite figure that has three triangles.
Two equilateral triangles.
One isosceles triangle.
We see that,
Both equilateral triangles have the same sides and the same angles.
5x - 1 = 24
5x = 24 + 1
5x = 25
x = 5
We see that,
Let the opposite angle of 6y° = m
6y° + 60 + 60 + m = 360
6y + 120 = 360
6y = 360 - 120
6y = 240
y = 40°
Thus,
x = 5 and y = 40°
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PLEASE HELP‼️‼️‼️ TRIGONOMETRIC FUNCTIONS‼️‼️‼️
Sides of the given Right angle Triangle are 7.5,12.5,10.
What are basic theorems of Right angle Triangle?The Pythagoras Theorem defines the relationship between a triangle's perpendicular, hypotenuse, and base. The right-angled triangle theorem is another name for this. The Pythagoras theorem states that a triangle is said to be right-angled if the sum of the squares of the perpendicular and base is equal to the square of the hypotenuse. It can be said in the following way:
If Angle equals 90° then Hypotenuse = Perpendicular∧2+ Base∧2.
The base is the side that the right angle is connected to, the neighboring side of the right angle is connected to the hypotenuse by the perpendicular, and the side that the angle is opposite to is known as the hypotenuse. The legs of the hypotenuse are another name for the base.
Calculation:Given
Tan(B) = [tex]\frac{3}{4}[/tex]=[tex]\frac{NE}{BE}[/tex]
⇒BE=10;
NB^2=NE^2+BE^2;
⇒NB^2=156.25
⇒NB=12.5
Sides of the given Right angle Triangle are 7.5,12.5,10.
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In AABC and ADEF, mZA = 68°,
m/C= m/F = 59°, mZE = 53°, and
AB = DE = 8 units. Can you prove that
AABC = ADEF? If so, write a proof. If not,
explain why not.
Answer:
It is impossible to prove that AABC = ADEF with the information given. In order for us to prove that these two figures are congruent, we would need to know the measures of all the angles in both figures and the lengths of all the sides. Since we only have the measures of some of the angles and the lengths of two sides, we cannot prove that the figures are congruent.
find each angle measure to the nearest degree cos C= 0.7193
Answer: c≈44°
Step-by-step explanation:
cos(c)=0,7193
c=arccos(0.7193)
c≈44°
If you wanted information about a population, it could be impossible to ask everyone. One way to avoid asking everyone is to take a sample. There are many ways to take a sample, including a random sample.
Why might it be important to small subgroups of populations that you use a random sample?
The subgroup can be those who differ from the majority because of physical, ethnic, religious, or other differences. Include an example of a real-life situation that involves a subgroup that supports your response.
Read and reply to another student's post. Your reply should include questions and comments that add to the discussion. For example, you might point out additional reasons that subgroups benefit from random sampling, or how other subgroups might benefit in similar ways to those discussed in the post.
straightforward random sampling With simple random sampling (SRS), each sampling unit of a population has an equal chance of being included in the sample.
What is simple random sampling?In other words, by looking at a smaller sample, you can draw conclusions about a larger population. To find trends in a variety of fields, including business and finance, statistical analysis is frequently utilized. Findings from statistical research can be used by people to improve the decisions they make with regard to their finances, enterprises, and investments.Simple random samples are a common place for researchers to start. As a result, they are able to statistically analyze a sample of people drawn from a larger population or group to get a rough idea of how the entire group will respond.Both pros and cons apply to this research methodology. In this article, we present a brief description of simple random sampling and highlight its benefits and drawbacks.A simple random sample is one of the techniques researchers employ to select a sample from a bigger population.If there is an equal likelihood that any subject will be selected from a population, this strategy will work.In order to draw general conclusions about a group, researchers choose basic random sampling.The simplicity and impartiality of it are two major benefits.Time, money, and the fact that bias may still exist are some of the drawbacks. Another is the difficulty of obtaining a list of a wider population.To Learn more About simple random sampling refer to:
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100 passengers board an airplane with exactly 100 seats. everyone has a ticket with an assigned seat number. however, the first passenger has lost their ticket and takes a random seat. every subsequent passenger attempts to choose their own seat, but takes a random seat if theirs is taken. suppose you are the very last passenger to board the plane. what is the probability that you will get your assigned seat?
Thus , probability of very last passenger getting seat comes out to be
P = 0.5 .
What is the process of probability?
Mathematics' field of probability deals with numerical representations of the possibility that an event will take place or that a statement is true. An event's probability is a number between 0 and 1, with 1 generally denoting certainty and 0 generally denoting impossibility.
Here,
If everyone chose at random, you would only have a 1/100 chance of receiving your own seat on a plane with 100 seats. However, in the context of this riddle, each participant does not make a random selection; rather, they only do so if all available seats have been occupied.
This indicates that half of the scenarios will resolve themselves (i.e., someone takes the mystery ticket holder's assigned seat allowing every subsequent passenger to take their assigned seat), while the other half will not resolve themselves and you will be seated in the incorrect location, making the probability of any plane occupancy equal to half.
Thus , probability of very last passenger getting seat comes out to be P = 0.5 .
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Which is the last sentence of the proof? because f e = 1, a2 b2 = c2. because f e = c, a2 b2 = c2. because a2 b2 = c2, f e = c. because a2 b2 = c2, f e = 1.
The last sentence of the proof is Because f+e=c, [tex]a^{2} + b^{2} = c^{2}[/tex]. Hence, option b is the correct answer to this question.
We have that △ABC and △CBD are right-angled triangles.
We have to prove [tex]a^{2} + b^{2} = c^{2}[/tex].
We are given the proof too.
Because △ABC and △CBD both have a right angle, and the same angle B is in both triangles, the triangles must be similar by AA.
Likewise, △ABC and △ACD both have a right angle, and the same angle A is in both triangles, so they also must be similar by AA.
The proportions and are true because they are ratios of corresponding parts of similar triangles. The two proportions can be rewritten as
[tex]a^{2}[/tex] = cf and [tex]b^{2}[/tex] = ce.
Adding [tex]b^{2}[/tex] to both sides of the first equation, [tex]a^{2}[/tex] = cf, which results in the equation [tex]a^{2} + b^{2} = cf +b^{2}[/tex].
Because [tex]b^{2}[/tex] and ce are equal, ce can be substituted into the right side of the equation for [tex]b^{2}[/tex], resulting in the equation [tex]a^{2}+b^{2}[/tex] = cf + ce.
Applying the converse of the distributive property results in the equation [tex]a^{2}+b^{2}[/tex]= c(f + e).
Now Because f+e=c, [tex]a^{2} + b^{2} = c^{2}[/tex] .
Hence, the last sentence of this proof is Because f+e=c, [tex]a^{2} + b^{2} = c^{2}[/tex].
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The complete question is -
Which is the last sentence of the proof?
a. Because f + e = 1, [tex]a^{2} + b^{2} = c^{2}[/tex].
b. Because f + e = c, [tex]a^{2} + b^{2} = c^{2}[/tex].
c. Because [tex]a^{2} + b^{2} = c^{2}[/tex], f + e = c.
d. Because [tex]a^{2} + b^{2} = c^{2}[/tex], f + e = 1.
Because △ABC and △CBD both have a right angle, and the same angle B is in both triangles, the triangles must be similar by AA. Likewise, △ABC and △ACD both have a right angle, and the same angle A is in both triangles, so they also must be similar by AA. The proportions and are true because they are ratios of corresponding parts of similar triangles. The two proportions can be rewritten as a2 = cf and b2 = ce. Adding b2 to both sides of first equation, a2 = cf, results in the equation a2 + b2 = cf + b2. Because b2 and ce are equal, ce can be substituted into the right side of the equation for b2, resulting in the equation a2 + b2 = cf + ce. Applying the converse of the distributive property results in the equation a2 + b2 = c(f + e).
Answer: option b
Step-by-step explanation:
Can you solve for 3 variables with 3 equations?
Yes, three equations are needed to find the values of three variables. Then only it will have a unique solution. The solution of three variable equation is also known as the ordered triple.
There must be 3 equations, If there are 3 variables.
Lets consider A,B,C as our equations and x, y, and z as the variables.
We will now follow these following steps:
1) By using C, first write z in terms of x and y. Then, Replace z with its equivalent in B.
2) Then write y in terms of x.
3) In A, replace y with its equivalent and replace z with its equivalent then solve A for x. Now you should know the value of x. You should have written y in terms of x so plug x and you will find y.
4)Finally, you should have written z in terms of x and y so you can find the value of z.
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two numeric variables x and y exhibit a negative correlation if a. the value of y tends to decrease as the value of x decreases. b. the value of y tends to increase as the value of x decreases. c. the value of y tends to increase as the value of x increases. d. the values of x and y always have the same difference.
If x and y are two numerical variables, they will have a negative correlation. As the value of x declines, the value of y tends to do the same.
Statistics uses the terms correlation or dependency to describe any statistical relationship between two random variables or bivariate data, regardless of whether it is causal or not. When two variables are negatively correlated, one drops when the other grows.Therefore, if the value of x decreases, the value of y will decrease as well.A negative correlation between x and y means that when x increases, y decreases, and when x decreases, y also decreases. This is expressed by the formula y = -x.
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If you apply the following
translation:
(x, y) → (x + 3, y − 2)
to the point (0, 1), what are the
resulting coordinates?
Answer:
(3,-1)
Step-by-step explanation:
you have a graph and poin is (0,1) you have 0+3 to make 2 on the horizontil line and they y = -2 so you go down 2 to make (3,-1)
Answer:
(3, -1)
Step-by-step explanation:
Graphical TranslationGraphical Translation is about shifting the coordinates by a certain value towards the left/down (x and y coordinates respectively) for negative signs and towards the right/up (x and y coordinates respectively) for positive signs.
Eg. x is shifted by + 3 units, y is shifted by - 1 unit from the point (9 , 3) , the resulting coordinate will be:
(9 + 3, 3 - 1) = (12, 2)
SolutionGiven from the question:
x is shifted by + 3 units and y is shifted by - 2 units,
Therefore, the resulting coordinates will be:
(0 + 3, 1 - 2) = (3, -1).
9) y=3x+1
y=1/3x + 1
Answer:
y = 3 ; x = -3
Step-by-step explanation:
[x + 1 x y = 1/3x + 1] y = 3
SUBSTITUTE
[ x + 1 x 3 = 1/3x + 1
SIMPLIFY
[ x + 3 = 1/3x + 1]
ISOLATE X FOR X + 3 = 1/3X + 1: X = -3
Which integer represents the following situation:
The scuba diver is 30 feet below sea level.
Question 3 options:
A: -3
B: 33
C: 30
D: -30
Answer:
D. -30
Step-by-step explanation:
Let's say 0 is sea level. If the diver is 30 feet below 0, then they would by 30 below 0, or -30.
Triangle PQR, with vertices P(4,6), Q(8,5), and R(5,9), is drawn inside a rectangle, as shown below.
The area of the given triangle will be A = 4.52 units².
How to find the distance between two points?Let's consider we have two points (x₁, y₁) and (x₂, y₂) the distance between these two points is given by the formula;
[tex]d = \sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }[/tex]
As per the given,
P(4,6), Q(8,5), and R(5,9)
[tex]d = \sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }[/tex]
PQ = [tex]\sqrt {\left( {4 - 8 } \right)^2 + \left( {6 - 5 } \right)^2 }[/tex]
PQ = √17 = 4.12
PR = [tex]\sqrt {\left( {4 - 5 } \right)^2 + \left( {6 - 9 } \right)^2 }[/tex]
PR = √5 = 2.25
QR = [tex]\sqrt {\left( {8 - 5 } \right)^2 + \left( {5 - 9 } \right)^2 }[/tex]
QR = √18 = 4.25
The area will be as, √(S(S - PQ)(S - QR)(S - PR)
Where, S = (4.12 + 2.25 + 4.25)/2 = 5.31
Area = √(5.31(5.31 - 4.12)(5.31 - 4.25)(5.31 - 2.25)
A = 4.52 units²
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Answer:
6.5 square units
Step-by-step explanation:
[tex]\boxed{\begin{minipage}{7cm}\underline{Area of a triangle}\\\\$A=\dfrac{x_1(y_2 - y_3) + x_2(y_3 - y_1) + x_3(y_1 - y_2)}{2}$\\\\where:\\ \phantom{ww}$\bullet$ $(x_1,y_1), (x_2,y_2)$ and $(x_3,y_3)$ are \\ \phantom{ww}\;\;\; vertices of the triangle. \\\end{minipage}}[/tex]
From inspection of the given diagram, the vertices of the triangle are:
(x₁, y₁) = P = (4, 6)(x₂, y₂) = Q = (8, 5)(x₃, y₃) = R = (5, 9)Substitute the vertices into the formula to solve for area:
[tex]\implies A=\dfrac{4(5 - 9) + 8(9 - 6) + 5(6 - 5)}{2}[/tex]
[tex]\implies A=\dfrac{4(-4) + 8(3) + 5(1)}{2}[/tex]
[tex]\implies A=\dfrac{-16 + 24 + 5}{2}[/tex]
[tex]\implies A=\dfrac{13}{2}[/tex]
[tex]\implies A=6.5 \; \sf units^2[/tex]
Therefore, the area of triangle PQR is 6.5 square units.
Which answer choice correctly represents an algebraic expression for 8 less than a number? i need help
The algebraic expression for 8 less than a number is x - 8
What is the algebraic expression for 8 less than a number?Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both. Addition, subtraction, multiplication, and division are all possible mathematical operations
Let the number be x.
The algebraic expression for 8 less than a number will be:
x - 8.
The expression is x - 8.
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Paula bought a ski jacket on sale for $4 less than half its original price. She paid $89 for the jacket. What was the original price?
an information technology company claims that a certain model of laptops have mean battery capacity of 5 hours. a consumer report firm wants to show that the actual mean is smaller than the company claims. what should be the null and alternative hypotheses? group of answer choices : versus : : versus : : versus :
Null Hypothesis: The actual mean is equal to the company's claim of 5 hours.Alternative Hypothesis: The actual mean is less than the company's claim of 5 hours.
Null and alternative hypotheses are applied for evaluating statistical theories. In contrast to the null hypothesis, which is a test's default assumption, the alternative hypothesis indicates how your research anticipates an effect or link between variables.
Null hypothesis: The null hypothesis states the expected outcome. In the given situation, the expected outcome is that the actual mean is equal to the company's claim of 5 hours.The alternate hypothesis conveys the null hypothesis' complete opposite.In this case, the alternative hypothesis is that the actual mean is less than the company's claim of 5 hours.
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PLEASE HELP ME
im stuck on it
The completed two-column table used to prove that ΔSUV ≅ ΔTVU, can be completed as follows;
Statements [tex]{}[/tex] Reasons
1. [tex]\overline{SU}[/tex] ≅ [tex]\overline{TV}[/tex] Given
2. ∠TSU ≅ ∠STV [tex]{}[/tex] Given
3. [tex]\overline{UV}[/tex]║[tex]\overline{ST}[/tex] [tex]{}[/tex] Given
4. ∠TSU ≅ ∠SUV[tex]{}[/tex] Alternate Interior Angles Theorem
5. ∠TVU ≅ ∠STV[tex]{}[/tex] Alternate Interior Angles Theorem
6. ∠STV ≅ ∠SUV [tex]{}[/tex][tex]{}[/tex] Transitive Property of Congruence
7. ∠TVU ≅ ∠SUV[tex]{}[/tex] Transitive Property of Congruence
8. [tex]\overline{UV}[/tex] ≅ [tex]\overline{UV}[/tex] [tex]{}[/tex] Reflexive Property of Congruence
9. ΔSUV ≅ ΔTVU [tex]{}[/tex] SAS
What are congruent triangles?Two triangles such as ΔSUV and ΔTUV are congruent when the three sides of triangle ΔSUV are congruent to the three sides of triangle ΔTUV.
The details of the reasons used to prove the congruency of the triangles are as follows;
Alternate Interior Angles Theorem
The alternate interior angles theorem states that the alternate interior angles formed by two parallel lines, such as [tex]\overline{UV}[/tex] and [tex]\overline{ST}[/tex] and their common transversals, [tex]\overline{TV}[/tex] and [tex]\overline{SU}[/tex], are congruent.
Transitive Property of Congruence
The transitive property of congruence states that two shapes are congruent to themselves if both shapes are congruent to a third shape.
Reflexive Property of Congruence
The reflexive property of congruence states that a shape, line, or angle is congruent to itself.
SAS
SAS, is an acronym for Side-Angle-Side congruency postulate, which states that, if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.
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what is the value of - 1.4x2 - 6.7
Answer:
Step-by-step explanation: Are you talking about negative numbers? If so, the answer is -9.5
If you aren't talking about negative numbers, then your answer is -3.9
Hope this helps.
Garrick and Zan are measuring the heights of seedling plants for science class.
Use the drop-down menus to complete the statements about the measured heights and the actual heights of the plants.
The complete statements are
Garrick's plant is shorter than Zan's plant, each millimetre of error results in a 11.11% percent error.Garrick's measurement was 2 millimetres off and Zan's was 12 millimetres off. Garrick's measurement was 20% off and Zan's was 12% off.How to complete the statements?The complete question is added at the end of this solution
From the question, we have the following parameters that can be used in our computation:
Garrick's plant:
Actual height = 10 mmMeasured height = 8 mmZan's plant:
Actual height= 100 mmMeasured height = 88 mmGarrick's plant is shorter than Zan's plant and the difference in heights is
Actual difference = 100 mm - 10 mm = 90 mm
Measured difference = 88 mm - 8 mm = 80 mm
The percentage errors are calculated using
Percentage errors = Difference/Actual measurement * 100%
So, we have
Garrick's actual error = (10 - 8)/10 *100% = 20%
Zan's actual error = (100 - 88)/10 * 100% = 12%
Hence, Garrick's measurement was 20% off and Zan's was 12% off.
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The publisher of a high school yearbook charges $24 per yearbook plus a layout fee of $475. The yearbook committee has decided that the publisher will receive no more than $6100. What is the maximum number of yearbooks that can be sold?
With the help of simple mathematical operations, we know that the publisher can sell a maximum of 12 yearbooks.
What are mathematical operations?A mathematical function known as an operation converts zero or more input values into a precisely defined output value.
The quantity of operands affects the operation's arity.
The order of operations refers to the rules that govern how to solve an expression with several operations.
Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction are all referred to as PEMDAS (from left to right).
So, the maximum number of books that can be sold are:
24 + 475 = 499
Now, the publisher can receive not more than $6100. Then,
6100/499 = 12.22
Therefore, with the help of simple mathematical operations, we know that the publisher can sell a maximum of 12 yearbooks.
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Write an equation in standard form that has a y-intercept at (0,-3) and also contains the point (4,5).
Answer:
Below
Step-by-step explanation:
Find the slope between the two given points
(y1-y2) / (x1-x2) <==== does not matter which you assign as point 1 or 2
(-3-5) / (0-4) = -8/-4 = 2
now set up equation using point-slope form (use either point)
y-5 = 2 (x-4) re-arrange
y -5 = 2x - 8
2x - y = 3
The number of pages cameron reads varies directly with time in minutes. He can read 15 pages in 60 minutes. What is the constant of proportionality for the number of minutes to read 1 page.
The constant of proportionality is 0.25
What is Unitary Method ?Using the unitary approach, you can solve problems by first figuring out the value of a single unit, then multiplying that value by the number of units you need.
According to the given information
Applying Unitary Method
Pages have a direct relationship with time.
N ∝ t
N = k × t
k is constant of proportionality
Time taken to read 15 pages = 60 minutes
Time taken to read 1 page = [tex]\frac{15}{60}[/tex]
= 1/4
1/4 is constant of proportionality
k = 0.25
The constant of proportionality is 0.25
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Last week cam's ice cream shop sold 525252 chocolate chip ice cream cones out of a total of 997997997 ice cream cones. Based on this data, what is a reasonable estimate of the probability that the next ice cream cone sold is a chocolate chip ice cream cone?.
The probability that next ice cream cone sold is a chocolate chip ice cream cone is 0.052. The result is obtained by dividing the chocolate chip ice cream cone sold by the total ice cream from the previous week data.
What is probability?Probability is a numerical description of how possible an event to happen. Probability of an event can be expressed as
P(A) = n(A) / n(S)
Where
P(A) is the probability of an event An(A) is the number of favorable outcomesn(S) is the total number of events in the sampleThe previous week data shows that
The number of chocolate chip ice cream cones, n(A) = 52The number of ice cream cones, n(S) = 997To estimate the probability that will happen in the future, we use the data happened in the past.
The probability that the ice cream cone sold for chocolate chip variant is
P(A) = n(A) / n(S)
P(A) = 52 / 997
P(A) = 0.052
Hence, the probability of next selling a chocolate chip ice cream cone is 0.052.
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Answer: 52/997
Step-by-step explanation: I checked on khan
How do you remove split infinitives?
To get rid of the split infinitive move the term that separates the infinitive from the split position.
In the given question we have to explain, how we remove split infinitives.
As we know that,
Split infinitives are grammatical constructions in which the "to" and "infinitive" halves of what is more often referred to as the to-infinitive in modern linguistics are separated by an adverb or adverbial phrase.
When an adverb is inserted between the word "to" and the infinitive verb, a split infinitive results. Move the term that separates the infinitive from the split position to get rid of the split infinitive.
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11.
As of 1995, the human population was expected to double within 50 years. If we calculated r for the human population, we would get 1.39.
True
False
The answer is false just took the exam.
As of 1995, the human population was expected to double within 50 years. If we calculated r for the human population, we would get 1.39. statement is False.
To determine whether the statement is true or false, we need to calculate the doubling time (DT) based on the given growth rate (r) and see if it aligns with the expected doubling time of 50 years.
The formula to calculate the doubling time (DT) for a population with a constant growth rate (r) is:
DT = ln(2) / r
where ln is the natural logarithm (base e).
If the expected doubling time is 50 years, then:
DT = 50 years.
Now, we can calculate the value of r:
r = ln(2) / DT
Plugging in the values:
r = ln(2) / 50 ≈ 0.01386
Comparing the calculated value of r (approximately 0.01386) with the given value of 1.39, we can see that they are not the same.
Therefore, the statement is False. The calculated value of r (0.01386) does not match the given value of 1.39, and it would not result in the human population doubling within 50 years. In reality, with a growth rate of 1.39, the population would grow at an unsustainable rate, leading to an even faster increase in population over time.
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solve compound inequality -3a<6 or a-5<-2
The simplified form of the compound inequality - 3a < 6 Or a - 5< - 2
is a > 3 Or a < 3.
What are inequalities and their types?Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.
The symbol a < b indicates that a is smaller than b.
When a > b is used, it indicates that a is bigger than b.
a is less than or equal to b when a notation like a ≤ b.
a is bigger or equal value of an is indicated by the notation a ≥ b.
Given, - 3a < 6 Or a - 5< - 2.
∴ 3a > 6 Or a < - 2 + 5.
a > 6/3 Or a < 3.
a > 3 Or a < 3.
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Please help me quick please it’s proofs and am really stuck on this question !!!
Answer:
Step-by-step explanation:
hey buddy thts supper easy just match the d and b
i need helpplsssssssssssssssssssssssssssssss−28+15=
Answer:
-13???
Step-by-step explanation:
Answer: −28+15=-13
Step-by-step explanation: -28 + 15 = -13
PLEASE HURRY The function, f(x), gives the train fare, in dollars, for a child who is “x” years old based on these rules:
-free for children under 5
-$5 for children who are at least 5 but younger than 11
-$7 for children who are at least 11 but younger than 16
Graph this piecewise function
The Piecewise function is
f(x) = [tex]\left \{ \right.[/tex] 0, x<5
5, 5<x<11
7, 11<x< 16
What is Piecewise Function?A function that is defined piecemeal is one that has numerous subfunctions, each of which applies to a distinct interval in the domain. Instead of being a property of the function itself, piecewise definition is a means to express the function.
A piecewise function is a function that is constructed from bits of various functions across various time intervals.
Given:
let x be the age of person.
We have,
free for children under 5$5 for children who are at least 5 but younger than 11$7 for children who are at least 11 but younger than 16let f(x) represents the piecewise function
f(x) = [tex]\left \{ \right.[/tex] 0, x<5
5, 5<x<11
7, 11<x< 16
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