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Evaluating Functions Answers

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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.
2
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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
5

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
6

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
7

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)
8

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
10

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)

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