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Worksheets

Function Notation

Total questions: 10

Worksheet time: 50mins

Name
Class
Date
1.

 V(r)=43πr3V\left(r\right)=\frac{4}{3}\pi r^3  
The function above can be used to find the volume of air inside a basketball given its radius. What does V(r) represent?

a)

The radius of the basketball

b)

The volume of the basketball with radius r

c)

The volume of the basketball with radius V

d)

The surface area of the basketball

2.

 h(t)=16t2+32t +10h\left(t\right)=-16t^2+32t\ +10  
The height of a rocket a given number of seconds after it is released is modeled by the function above. What does t represent?

a)

The time (in seconds)

b)

The initial height of the rocket (in feet)

c)

The initial velocity of the rocket (in feet)

d)

The height of the rocket after t seconds (in feet)

3.

Which of the following statements is true about the function?

a)

f(-10) = 1

b)

f(2) = -10

c)

f(0) = 6

d)

f(1) = -10

4.

Which of the following is true about the function shown on the graph?

a)

f(0) = 3

b)

f(5) = -1

c)

f(3) = 2

d)

f(2) = -2

5.

Which of the following equations accurately represents an ordered pair from the table?

a)

f(9) = 5

b)

f(5) = 9

c)

f(6) = 2

d)

f(3) = 7

6.

For which value of x does f(x) = -3 ?

a)

-7

b)

-4

c)

4

d)

5

7.

Consider the function below where x is the independent variable. How can the function be written in function notation?

 y=3x16y=3x-16  

a)

f(y) = 3y - 16

b)

f(x) = 3x - 16

c)

f(y) = 3x - 16

d)

f(x) = 3y - 16

8.

Which three statements about the function are true?

a)

g(1) = -1

b)

g(0) = 0

c)

g(4) = -2

d)

g(1) = 1

e)

g(-1) = 1

9.

Consider the function shown on the graph. for what two values of x does g(x) = 4 ?

a)

-2

b)

4

c)

0

d)

2

10.

Consider the function shown on the graph. What is f(4) ?

a)

0

b)

4

c)

1

d)

5