AnswersAlgebra I AIntroduction to Functions

Function Notation Answers

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The function can be used to find the volume of air inside a basketball given its radius. What does V(r) represent?

Question illustration
A
the radius of the basketball when the volume is V
B
the volume of the basketball when the radius is r
C
the volume of the basketball when the radius is V
D
the radius of the basketball when the volume is r
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The table represents a function.

Question illustration
A
–3
B
–1
C
1
D
3
3

On a coordinate plane, a straight line with a negative slope, labeled f of x, crosses the y-axis at (0, 4), and the x-axis at (4, 0).

Question illustration
A
f of 0 = 3
Option A
B
f of 5 = negative 1
Option B
C
f of 3 = 2
Option C
D
f of 2 = negative 2
Option D
4

Which statements about the function are true? Choose three options.

A
g of 1 = negative 1
Option A
B
g of 0 = 0
Option B
C
g of 4 = negative 2
Option C
D
g of 1 = 1
Option D
E
g of negative 1 = 1
Option E
5

Consider the function represented by the equation 6q = 3s - 9. Write the equation in function notation, where q is the independent variable.

A
f of q = one-half q minus three-halves
Option A
B
f(q) = 2s + 3
C
f of s = one-half s minus three-halves
Option C
D
f(q) = 2q + 3
6

The height of a rocket a given number of seconds after it is released is modeled by . What does t represent?

Question illustration
A
the number of seconds after the rocket is released
B
the initial height of the rocket
C
the initial velocity of the rocket
D
the height of the rocket after t seconds
7

Consider the function represented by with x as the independent variable. How can this function be written using function notation?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
8

The table represents a function.

Question illustration
A
–8
B
–1
C
1
D
8
9

Consider the function represented by the table.

Question illustration
A
f(9)=5.
B
f(5)=9.
C
f(5, 9)=14.
D
f(9, 5)=14.

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