Evaluating Functions Answers

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If point (4, 5) is on the graph of a function, which equation must be true?

A
f(5)=4
B
f(5,4)=9
C
f(4)=5
D
f(5,4)=1
2
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The function f(x) is given by the set of ordered pairs.{(8, –3), (0, 4), (1, –5), (2, –1), (–6, 10)}

A
f(–3) = 8
B
f(3) = 5
C
f(8) = 0
D
f(–6) = 10
3

The table represents a function.

Question illustration
A
–3
B
–1
C
1
D
3
4

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
5

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
6

Consider the function represented by the table.

Question illustration
A
–7
B
–4
C
4
D
5
7

The table represents a function.

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

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
9

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
10

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

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