AnswersCUSD Math 01 A 5.0Function Notation

Evaluating Functions Answers

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1
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On a coordinate plane, a straight red line with a positive slope, labeled g of x, crosses the x-axis at (negative 3, 0) and the y-axis at (0, 3). A straight blue line with a positive slope, labeled f of x, crosses the y-axis at (0, negative 3) and the x-axis at (1, 0). Both lines intersect at (3, 6).

Question illustration
A
f(6) = g(3)
B
f(3) = g(3)
C
f(3) = g(6)
D
f(6) = g(6)
2
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If f(x) = + 8, what is f(x) when x = 10?

Question illustration
A
4
B
9
C
13
D
36
3

Which statement is true regarding the graphed functions?

Question illustration
A
f(0) = g(0)
B
f(–2) = g(–2)
C
f(0) = g(–2)
D
f(–2) = g(0)
4

Two functions are graphed on the coordinate plane.

Question illustration
A
f(4) = g(4) and f(0) = g(0)
B
f(–4) = g(–4) and f(0) = g(0)
C
f(–4) = g(–2) and f(4) = g(4)
D
f(0) = g(–4) and f(4) = g(–2)
5

The table represents the function f(x).

Question illustration
A
–9
B
–1
C
1
D
9
6

On a coordinate plane, a red curved line with an upward arc, labeled g of x, crosses the x-axis at (negative 2, 0), and the y-axis at (0, 4). A blue curved line with an upward arc, labeled f of x, crosses the y-axis at (0, 4) and the x-axis at (2, 0).

Question illustration
A
f(0) = 2 and g(–2) = 0
B
f(0) = 4 and g(–2) = 4
C
f(2) = 0 and g(–2) = 0
D
f(–2) = 0 and g(–2) = 0
7

What is the inverse of the function f(x) = 2x – 10?

A
h(x) = 2x – 5
B
h(x) = 2x + 5
C
h(x) = x – 5
Option C
D
h(x) = x + 5
Option D
8

If f(x) = 6x – 4, what is f(x) when x = 8?

A
2
B
16
C
44
D
52
9

What is the inverse of the function f(x) = 2x + 1?

A
h(x) = x –
Option A
B
h(x) = x +
Option B
C
h(x) = x – 2
Option C
D
h(x) = x + 2
Option D
10

Which represents the inverse of the function f(x) = 4x?

A
h(x) = x + 4
B
h(x) = x – 4
C
h(x) = x
Option C
D
h(x) = x
Option D
11

What is the inverse of the function f(x) = 2x – 10?

A
h(x) = 2x – 5
B
h(x) = 2x + 5
C
h(x) = x – 5
Option C
D
h(x) = x + 5
Option D
12

Which statement is true regarding the graphed functions?

Question illustration
A
f(4) = g(4)
B
f(4) = g(–2)
C
f(2) = g(–2)
D
f(–2) = g(–2)
13

If f(x) = + 8, what is f(x) when x = 10?

Question illustration
A
4
B
9
C
13
D
36
14

If f(x) = 5x + 40, what is f(x) when x = –5?

A
–9
B
–8
C
7
D
15
15

Which represents the inverse of the function f(x) = 4x?

A
h(x) = x + 4
B
h(x) = x – 4
C
h(x) = x
Option C
D
h(x) = x
Option D
16

What is the inverse of the function f(x) = x + 2?

Question illustration
A
h(x) = 18x – 2
B
h(x) = 9x – 18
C
h(x) = 9x + 18
D
h(x) = 18x + 2
17

A graph shows the number of texts, numbered 10 to 100, on the x-axis, and the total cost in dollars, numbered 3 to 27, on the y-axis. A straight red line with a positive slope, labeled Emilia, begins at (0, 10), and a straight blue line with a positive slope, labeled Hiroto, begins at (0, 20). Both lines intersect at point (50, 22.5).

Question illustration
A
Hiroto’s plan costs more than Emilia’s plan when more than 50 texts are sent.
B
Both plans cost the same when 22 texts are sent.
C
Emilia’s plan costs more than Hiroto’s plan when more than 22 texts are sent.
D
Both plans cost the same when 50 texts are sent.
18

If f(x) = 6x – 4, what is f(x) when x = 8?

A
2
B
16
C
44
D
52
19

The functions f(x) and g(x) are graphed.

Question illustration
A
f(0) = g(0) and f(2) = g(2)
B
f(2) = g(0) and f(0) = g(4)
C
f(2) = g(0) and f(4) = g(2)
D
f(2) = g(4) and f(1) = g(1)
20

On a coordinate plane, a straight red line with a negative slope, labeled g of x, crosses the y-axis at (0, negative 7). A straight blue line with a positive slope, labeled f of x, crosses the x-axis at (negative 1, 0) and the y-axis at (0, 2). Both lines intersect at (negative 3, negative 4).

Question illustration
A
f(–3) = g(–4)
B
f(–4) = g(–3)
C
f(–3) = g(–3)
D
f(–4) = g(–4)

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