Answers
Answer:
When we have a random function like:
y = f(x)
If there is no clarification, the domain will be the set of all real numbers except the ones that may make a problem.
For example, if there is some value of x such that there is a denominator equal to zero, then that particular value of x is not in the domain of f(x) (because we can not divide by x)
Something similar happens when we have a square root, remember that:
√x
Is a complex number if x < 0.
Then if we have a function like:
y = √x
The domain will be the set of all reals such that x ≥ 0.
Then the procedure to find the domain is to find the inputs that may have problems, and "remove" them from the domain.
For the range, we need to first know the domain, then we can evaluate the function in different points of the domain and see the outputs. Once we know all the outputs, we know the range of the function.
Usually, when working with continuous functions, these may have a global maximum M and a global minimum m, then the range is:
m ≤ Y ≤ M
if not, then the range is the set of all real numbers.
Related Questions
Y=-1|x-2|+1 how to solve
Answers
Answer:
if x ≥ 2, then y = x - 1
if x < 2, then y = -x + 3
Step-by-step explanation:
y = 1* |x - 2| + 1
y = |x-2| + 1
*** The rule on absolute value: |a| =a, if a ≥ 0; |a| = -a, if a < 0
If x-2 ≥ 0, then |x-2| = x-2, so y = (x - 2) + 1 = x - 1; y = x - 1
So if x ≥ 2, then y = x - 1
If x-2 < 0, then |x-2| = -(x-2) = -x + 2, so y = {-x + 2} + 1 = -x + 3; y = -x + 3
So if x < 2, then y = -x + 3
Solve the simultaneous equation
4x-y=9
2x-3y= -23
Answers
Answer:
x = 5
y = 11
Step-by-step explanation:
y = 4x - 9
2x -3(4x - 9) = -23
2x - 12x + 27 = -23
-10x = -23 -27
-10x = -50
minus cancels out
x = 5
y = 4(5) -9
y = 20 - 9
y = 11
8. A contractor plans to brace a radio antenna with another cable. Cable X is already attached to the antenna at a height of 60 feet and forms a 58 degree angle with the ground, as shown below. Radio Antenna Cable x 60 feet Cable Y 58°
Answers
Answer:
142
Step-by-step explanation:
.jdnxixsykxkxmxmxmmxmmsmsmsmsmxmx
6. Let f(x) = 2x5/2 and g(x) = 4x2 Find (f/g)(x). Please show work.
Answers
Answer:
8,9,10
Step-by-step explanation:
Mary, John and Sue are working on a large project. From past experience it is estimated that Mary would require 45 days to complete the project, John would require 50 days, and Sue would require 60 days. If they work together, what would be the estimated number of days required to complete this project?
Answers
What is the volume of a triangular pyramid that is 10 in. tall and has a base area of 9 square in.?
Answers
Step-by-step explanation:
anewer is 30 cubic inches.
Simplify the expression:
2n + 10(9 + 4n)
Answers
Answer:
42n+90
Step-by-step explanation:
Explaination:
2
n
+
10
(
9
+
4
n
)
Distribute:
=
2
n
+
(
10
)
(
9
)
+
(
10
)
(
4
n
)
=
2
n
+
90
+
40
n
Combine Like Terms:
=
2
n
+
90
+
40
n
=
(
2
n
+
40
n
)
+
(
90
)
=
42
n
+
90
Given that A and I are the centers of the congruent circles shown below, compare the quantity in column A with the quantity in column B. Choose the best answer. The quantity in column A is greater. The quantity in column B is greater. The two quantities are equal. The relationship cannot be determined from the information given.
Answers
Answer: The two quantities are equal
Step-by-step explanation:
Edge2021
C. The two quantities are equal
Step-by-step explanation:
Edge 2020 2021
Yo help me out man plz bro
Answers
Answer:
this is a live quiz this doesn't follow brainly guidelines
Step-by-step explanation:
Answer:
after 5 years y\hfhfjdjrjrnufjrjdunens
5. What is the volume of the right triangular prism?
12 m
A. 64 m
B. 128 m
C. 192 m®
D. 384 m
4 m
8 m
Answers
V = 0.5 • 12 • 8 • 4 = 192
6. G
V = (1/3) 6x^2 • 6 • 8 = 96x^2
Can you please explain Number 7 with steps
Answers
Answer:
this is not exact because i Estimated the square root of 33
Step-by-step explanation:
Find surface area of the prism.
5 m
18 m
4 m
Answers
Answer: 27m
Step-by-step explanation:
Every morning, Jim goes for a morning walk. His normal walking speed is 3 1/2 km per hour, and he walks
a total distance of 10 km every day. How much time does he take to cover one km?
minutes
Answers
Answer:
29 1/31 minutes
What is the equation of the line that passes through the point (4, -8) and has a
slope of -1/2?
Answer is y=-1/2x-6
:)
Answers
Answer:
yo sorry I'm dum need points
Please please help me I have to finish and on question 2
Answers
I’m pretty sure I hope it helped
What is the next number in the sequence below?
1 3 5 7
Answers
Hope this helps! Have a great day :)
Answer: 9
Step-by-step explanation:
It's odd numbers. Also the pattern is counting by 2 every time.
al comprar una estufa de 5579 le cobran 9%de su costo extra para llevarlo a domicilio cuanto se pagará en total si la estufa será llevada
Answers
Answer:
6081.11
Step-by-step explanation:
Para resolverlo debes usar la regla de 3 simples:
La estufa cuesta $5,579 y te cobrarán el 9% para llevarlo a domicilio para eso realizarás esta operación
5579 = 100%
X = 9%
Ahora debes multiplicar 5579 x 9 = 50211
Ahora debes dividirlo entre 100 50211 ÷ 100 = 502.11 entonces el 9% es $502.11
Para terminar debes sumar el precio de la estufa y lo que cuesta llevarlo a domicilio 5579 + 502.11 = 6081.11
En total pagará $6081.11
A circle has radius 29.5 cm. What is the diameter?
Answers
Answer:
59cm
Step-by-step explanation:
Why might the first method give a closer average than the second method?
Answers
Answer:
dosent this question
on have a diagram or some thing
A pool has some initial amount of water in it. Then it starts being filled so the water level rises at a rate of 666 centimeters per minute. After 202020 minutes, the water level is 220220220 centimeters.
Answers
Answer:
y = mx + b
slope(m) = 6
(20,220)....x = 20 and y = 220
now sub and find b, the y int
220 = 6(20) + b
220 = 120 + b
220 - 120 = b
100 = b
so ur equation is : y = 6x + 100
to graph :
y = 6x + 100.....u have a slope of 6....u have a y int of 100 or (0,100)...
I would say plot (0,100) and since ur slope is 6, go up 6 and to the right 1...but that is not to helpful because ur graph is not in intervals of 1.
So we will find some points on ur line.
y = 6x + 100....when x = 5
y = 6(5) + 100
y = 30 + 100
y = 130....so another point on ur line is (5,130)
y = 6x + 100...subbing in 10 for x
y = 6(10) + 100
y = 60 + 100
y = 160....another point is (10,160)
keep finding points this way...here are some more...
(15,190) , (20,220), (25,250)
Step-by-step explanation:
Answer:
y = 6x + 100
Step-by-step explanation:
Is the association between x and y positive or negative?
A. none B.positive C, negative
Answers
Answer:
A.non at all so, please choose the right answer
Answer:
A.non at all so, please choose the right answer
What is the value of this expression? 42−{(7+14)÷7}×4
A. 6
B. 28
C.30
D. 156
Answers
Answer:
42−{(7+14)÷7}×4
42 - {21 ÷ 7} x 4
42 - 3 x 4
42 - 12
30
Step-by-step explanation:
Add 7+14 first and then divided by 7×4 then subtract it by 42
I WILL MARK BRANLIEST IF U ARE RIGHT!!
Answers
Answer:
Perimeter=100 area=688.19
Step-by-step explanation:
There's a big formula for area of pentagon and I pretty tired, so unless you want me to show my work I wont
geometry proofs help please
Answers
Answer:
trust your instincts
Step-by-step explanation:
I can not interfere with your destiny you will need to decide your destiny
Which phrase best describes the relationship indicates by the scatter plotting?
Answers
Answer:B
Step-by-step explanation:
Jerry buys a new cell phone and signs up for a yearly cell phone plan. The cell phone costs $329 and the yearly plan costs 490 per year for every year he uses the cell phone. The only costs associated with the cell phone are the purchase price and the cost of the yearly cell phone plan.
a) Describe the annual cost of the cell phone per year as a function of the number of years he uses the cell phone.
b) What happens to the average price per year the longer Jerry holds onto this plan and explain why?
Answers
Answer:
(329 + 490X) / X = Cost
Thus, the average annual price decreases as the cell phone is used for more years, because the fixed cost (the cost of the value of the cell phone) is divided each time by a greater number of years.
Step-by-step explanation:
Since Jerry bought a new cell phone and signed up for a yearly cell phone plan, and the cell phone costed $ 329 and the yearly plan costs $ 490 per year for every year he uses the cell phone, to determine the annual cost of the cell phone per year as a function of the number of years he uses the cell phone, the following mathematical reasoning must be performed:
(329 + 490X) / X = Cost
So, for example, if the cell phone was used for 3 years, the function would apply as follows:
(329 + 490x3) / 3 = X
(329 + 1470) / 3 = X
1,799 / 3 = X
599.66 = X
Thus, the average annual price decreases as the cell phone is used for more years, because the fixed cost (the cost of the value of the cell phone) is divided each time by a greater number of years.
MY FRIEND NEED HELP !
find the least common denominator for the following fractions: 3/8 and 2/3
Answers
answer:
number 4
Step-by-step explanation:
24 ? 8×3=24
Evaluate the integral. (Use C for the constant of integration.)
cos(x) (8 + 7 sin^2(x)) dx
Answers
Answer: [tex]8 \sin x +7(\dfrac{\sin^3x}{3})+C[/tex]
Step-by-step explanation:
Consider [tex]\int \cos(x) (8+7 \sin^2(x)) \, dx[/tex]
Substitute t= sinx
then dt = cos x dx
[tex]\int \cos(x) (8+7 \sin^2(x)) \, dx = \int (8+7t^2)dt\\\\ =8t+7(\dfrac{t^3}{3})+C[/tex]
[tex][\int x^ndx=\dfrac{x^{n+1}}{n+1}+C][/tex]
[tex]=8 \sin x +7(\dfrac{\sin^3x}{3})+C[/tex]
Hence, [tex]\int \cos(x) (8+7 \sin^2(x)) \, dx=8 \sin x +7(\dfrac{\sin^3x}{3})+C[/tex]
1 1/18 + 3 1/18 + 1 2/9 + 1 2/9
Answers
Answer:
6.55555555556
Step-by-step explanation:
Answer:
6 10/18 i think
Simplified is 6 5/9
improper fraction is 118/18
Step-by-step explanation:
Find b: a2+b2=c2
a = 6, c = 10
PLZ HELP YALL ILL REWARD BRAINLIEST THINGY
Answers
Answer:
b = 4
Step-by-step explanation: