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4.3 HW - Functions

Total questions: 10

Worksheet time: 36mins

Name
Class
Date
1.

Find the following function value.

 f(7) if f(x) =5xf\left(7\right)\ if\ f\left(x\right)\ =5x  

a)

12

b)

35

c)

30

d)

15

2.

Find the function value.

 f(9) if f(x)= x+13f\left(9\right)\ if\ f\left(x\right)=\ x+13  

a)

117

b)

-4

c)

22

d)

8

3.

Find the function value.

 f(4) if f(x) = 3x−1f\left(4\right)\ if\ f\left(x\right)\ =\ 3x-1  

a)

-12

b)

12

c)

10

d)

11

4.

A photographer takes an average of 15 pictures per session. The total number of pictures p(s) is a function of the number of sessions s.

a) Identify the independent and dependent variables.

a)

Independent: Number of sessions

Dependent: Total number of pictures

b)

Independent: Total number of pictures

Dependent: Number of sessions

5.

What is the independent variable?

a)

x-values

b)

y-values

6.

What is the dependent variable?

a)

x-values

b)

y-values

7.

Find the range of the function for

 f(−3, −2, 0, 1) if f(x)= 6x−4f\left(-3,\ -2,\ 0,\ 1\right)\ if\ f\left(x\right)=\ 6x-4  

a)

-22, -16, -4, 2

b)

2, -16, 20, 22

c)

-22, -14, 5, 19

d)

2, -16, -4, 7

8.

Find the function value.

 f(−1) if f(x) = 8x+15f\left(-1\right)\ if\ f\left(x\right)\ =\ 8x+15  

a)

7

b)

41

c)

-41

d)

-71

9.

A photographer takes an average of 15 pictures per session. The total number of pictures p(s) is a function of the nnumber of sessions s.

a) write a function to represent the total number of pictures taken.

b)Determine the number of pictures taken in 22 sessions.

a)

p(15)=s p(22) = 22 picturesp\left(15\right)=s\ \ \ p\left(22\right)\ =\ 22\ pictures

b)

p(s) = 15s p(22) = 330 picturesp\left(s\right)\ =\ 15s\ \ \ \ \ p\left(22\right)\ =\ 330\ pictures

c)

p(s) = 22s p(15) = 330 picturesp\left(s\right)\ =\ 22s\ \ \ \ \ p\left(15\right)\ =\ 330\ pictures

10.

Leo belongs to a music club that charges a monthly fee of $5, plus $0.50 per song that he downloads. Write a function to represent the amount of money m(s) he would pay in one money to download s songs. What is the cost if he downloads 30 songs?

a)

m(s) = 5s + .50m\left(s\right)\ =\ 5s\ +\ .50

b)

m(s) = 5+.50sm\left(s\right)\ =\ 5+.50s

c)

m(s) = 5s + .50 m\left(s\right)\ =\ 5s\ +\ .50\ \ $20.00

d)

m(s) = 5+.50sm\left(s\right)\ =\ 5+.50s $20.00