Select the correct answer.
What is the range of the function f(x) = 4x + 9, given the domain D={-4,-2,0, 2}?
Answers
Given:
The function is
[tex]f(x)=4x+9[/tex]
Domain = {-4, -2, 0, 2}
To find:
The range of the given function for the given domain.
Solution:
We know that domain is the set of input values and range is the set of output values.
We have, [tex]f(x)=4x+9[/tex] and domain = {-4, -2, 0, 2}.
Putting x=-4 in the given function, we get
[tex]f(-4)=4(-4)+9[/tex]
[tex]f(-4)=-16+9[/tex]
[tex]f(-4)=-7[/tex]
Putting x=-2 in the given function, we get
[tex]f(-2)=4(-2)+9[/tex]
[tex]f(-2)=-8+9[/tex]
[tex]f(-2)=1[/tex]
Putting x=0 in the given function, we get
[tex]f(0)=4(0)+9[/tex]
[tex]f(0)=0+9[/tex]
[tex]f(0)=9[/tex]
Putting x=2 in the given function, we get
[tex]f(2)=4(2)+9[/tex]
[tex]f(2)=8+9[/tex]
[tex]f(2)=17[/tex]
The output values are -7, 1, 9, 17. So, the range of the function f(x) for the given domain is {-7, 1, 9, 17}.
Therefore, the correct option is D.
Related Questions
Solve the pair of simultaneous equations and leave the answer as a fraction in
its lowest term. 2x − 3 = y, x+ y= 8
Answers
Answer:
x = 11/3 = 3 2/3
y = 13/3 = 4 1/3
Step-by-step explanation:
Here, we want to solve the system of equations simultaneously
x + y = 8
2x -3 = y
From the second equation, we have an equation for y
we can simply proceed to substitute this into the first equation
x + 2x - 3 = 8
3x - 3 = 8
3x = 8 + 3
3x = 11
x = 11/3
Recall;
y = 2x - 3
y = 2(11/3) - 3
y = 22/3 - 3
y = (22-3(3))/3
y = (22-9)/3 = 13/3
Evaluate the function at the given value. If g(x)=9x-8 find g(x+6) and g(x)+g(6)
Answers
Answer:
MARISSA WHATS THE SNAP I BET U BAD
Step-by-step explanation:
!!!!!!Help Me Plz!!!!!!
Answers
Answer:
angle ABE = 55 degrees
Step-by-step explanation:
(3x-8) + (x+14) = 90
4x+6 = 90
4x = 84
x = 21
angle ABE = 3(21)-8 = 55
An amusement park sold an average of 280 tickets in 4 hours. If this rate continues, how many tickets will they sell in 7 hours? *
Answers
280 tickets per 4 hours
We need to find out how many tickets they made per hour.
So: 280/40
=70 tickets
70 tickets per hour
We then need to find how many ticket they made in 7 hours.So: 70 x 7
=490 tickets
Answer:
490
Divide 280 by 4 to get average of 70 tickets an hour.
Multiple 70 X 7= 490
Can somebody help me with this. Will Mark brainliest.
Answers
Answer:
The answer is 36 I believe
Step-by-step explanation:
Answer:
Step-by-step explanation:
sin(x) = 5.9/8.1
x = arcsin(5.9/8.1) ≅ 47°
Write the expression in exponential form
(3√a)^2
Answers
Answer:
a^2/3
Step-by-step explanation:
A crow is flying at 50 miles per hour takes 30 minutes to fly between two towns. What is the
distance between the two towns in miles?
Answers
Answer:
The two towns are 25 miles apart
Which graph represents the solution for the equation 3x + 2 = 5x?
**+
Answers
Complete steps 2 and 3 to solve the system of equations.
y = 4x – 5,
y = –3
Answers
Answer:
Point form: ([tex]\frac{1}{2}[/tex],-3)
Equation form: x=1/2 y=-3
Step-by-step explanation:
hope it helps ;)
Find the value of x.
Answers
Answer:
16
Step-by-step explanation:
Justin made 6 pounds of granola to sell at his community fair. He charges $6.35 for each 23-pound bag of granola.
How much money will Justin earn if he sells all of the granola?
Answers
Answer: 38.1$
Step-by-step explanation:
Answer:
About $24.34
Step-by-step explanation:
if you do 23 divided by 6 you get 3.8333333 then you do 3.83333333 times 6.35 and you get about $24.34.
The x coordinate of the vertical intercept is always zero. For example, a line that crosses they axis at -6 has a vertical intercept of (0 - 6) true or false
Answers
Answer:
true
Step-by-step explanation:
A family consumes 30 kg of sugar in 15 days. how much sugar will consumed in 275
Answers
Answer:
550 kg
Step-by-step explanation:
if if we get 30 day as in a month show the sugar will be consumed equals to 2 kg per day soooo if there is 275 days x 2 kg equals to 550 kg sugar consumed by them
Answer:550 kg
Step-by-step explanation: 30 day as in a month show the sugar will be consumed equals to 2 kg per day so if there is 275 days x 2 kg equals to 550 kg sugar consumed by them.
i think sorry if its worng
Help me please answer thanks
Answers
Answer:
I think it would be each girl scored 2 points, and each boy only scored one. :)
Find the missing exponent: 5^11/5?=5^4
Answers
6x + 8y + 6 ; x = 2 , y = 6
Answers
Answer:
66
Step-by-step explanation:
6x + 8y + 6
x=2
y=6
Replace the letters with the numbers:
6(2) + 8(6) +6
= 12 +48 + 6
= 66
The lines 2x=ky+2 and (k+1)x=6y-3 have same gradient. Find possible values of k
I need the answers ASAP please!
Answers
Answer:
k = 3 or k = -4
(Anyone can correct me if I'm wrong)
Step-by-step explanation:
[tex]2x=ky+2\to\ eq1\\(k+1)x=6y-3\to\ eq2\\$Change to this form: $y=mx+c\\ky=2x-2\\y=\frac{2x-2}{k}\\$gradient of eq1: $\frac{2}{k}\\6y=(k+1)x+3\\y=\frac{(k+1)x+3}{6}\\y=\frac{k+1}{6} x+\frac{3}{6}\\y= \frac{k+1}{6} x+\frac{1}{2}\\$gradient of eq1: $\frac{k+1}{6}\\$Since gradient, m, is the same for both lines,$\\\frac{2}{k}=\frac{k+1}{6}\\12=k^{2}+k\\k^{2}+k-12=0\\(k-3)(k+4)=0\\k=3 $ or $ k=-4[/tex]
Please solve all these ASAP:))))))))
Answers
Step-by-step explanation:
Can anyone else confirm?
Find the class mark of the class 160- 165
Answers
Answer:
the classmark of the class is 162.5
Step-by-step explanation:
The computation of the class mark is shown below:
Given that
160 - 165
So, the class mark of the class is
= (Upper limit + lower limit) ÷ 2
= (160 + 165) ÷ 2
= 162.5
Hence, the classmark of the class is 162.5
Which of the following best represents pi for the circle below?
Answers
Answer:
Pi ~ 3.14
That is probably the best measure.
Step-by-step explanation:
if triangle def is similar to triangle jkl find kl
Answers
Answer:
KL=45
Step-by-step explanation:
-x + 6y = -8
x-6y=8
Answers
Answer:
inifinitely many solutions
Step-by-step explanation:
-2a - 7 = -11 (worth 25 points}
Answers
Answer:
A=2
Step-by-step explanation:
. Cost. A circular terrace has a radius of 6 ft. If it costs $1.50 per square foot to pave the terrace with brick, what will the total cost be?
Answers
Answer:
$169.65 is the total cost
Step-by-step explanation:
A= πr2= π·6(2)≈ 113.1
113.1 * 1.50 = 169.65
YO SOMEBODY HELP PLS IM STUCK
Answers
Answer:
X is less than or equal to -3
Hope that answers your question
What is the slope of the line in this graph?
Answers
Answer:
90% sure it's 5/7
Step-by-step explanation:
Help plz. I don't get this.
Answers
Answer:
6/4
Step-by-step explanation:
up 6 and over 4
° • .°• ✯
° • .°• ✯ ★ * ° °·
° • .°• ✯ ★ * ° °· . • ° ★ • ☄
° • .°• ✯ ★ * ° °· . • ° ★ • ☄▁▂▃▄▅▆▇▇▆▅▄▃▁▂
Make a triangle to find c, the hypotenuse.
Using the Pythagorean Theorem:
a^2+b^2=c^2
4^2+6^2=c^2
16+36=c^2
52=c^2
7.211102550927=c
7.2~c
I need to show my work ASAP
Answers
Answer:
intergers
square root of 14 = 3.74
integer is 4
nearest tenth is 3.7
square root of 90 =9.49
interger = 9
nearest tenth =9.5
square root of 175 =13.23
interger =13
nearest tenth =13.2
Which equation could be used to find the missing value of x?
Answers
Answer:
d
Step-by-step explanation:
Solve the equation 5.5(x-3)=17+10.5 in systems of equations. How can you find your solution?
Answers
Answer:
x= 8
Step-by-step explanation:
5.5(x-3)=17+10.5
5.5x - 16.5= 27.5
5.5x= 44
x= 8