AnswersOK-Algebra II AFunction Inverses

Function Inverses — Unit test Answers

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If k(x) = 5x – 6, which expression is equivalent to (k + k)(4)?

A
5(4 + 4) – 6
B
5(5(4) – 6) – 6
C
54 – 6 + 54 – 6
D
5(4) – 6 + 5(4) – 6
3

Lionel computed the average rate of change in the depth of a pool over a two-week interval to be zero. Which statement must be true?

A
The pool must have been empty for the entire interval.
B
The pool must have been the same depth at the start of the interval as it was at the end of the interval.
C
The pool must have been deeper at the end of the interval than it was at the start of the interval.
D
The pool must have been more shallow at the end of the interval than it was at the start of the interval.
5

If the function has an inverse function, which statement must be true?

Question illustration
A
b not-equals 0
Option A
B
mc009-3.jpg
Option B
C
mc009-4.jpg
Option C
D
mc009-5.jpg
Option D
6

The graph of f(x) is shown below.If g(x) and f(x) are inverse functions, which graph represents g(x)?

Question illustration
A
On a coordinate plane, a curve opens up and to the left in quadrant 1. The curve starts at (0, 0) and curves up sharply through (2, 4).
Option A
B
On a coordinate plane, a curve opens down and to the left in quadrant 2. The curve starts at (0, 0) and gradually curves through (negative 4, 2).
Option B
C
On a coordinate plane, a curve opens open and to the left in quadrant 3. The curve starts at (0, 0) and curves gradually through (negative 4, negative 2).
Option C
D
On a coordinate plane, a curve opens up and to the left in quadrant 1. The curve starts at (0, 0) and curves up through (4, 1).
Option D
7

Which of the following is an odd function?

A
g(x) = x2
B
g(x) = 5x – 1
C
g(x) = 3
D
g(x) = 4x
10

If g(x) is an odd function, which function must be an even function?

A
f(x) = g(x) + 2
B
f(x) = g(x) + g(x)
C
f(x) = g(x)2
D
f(x) = –g(x)
11

The height in feet, h, of a model rocket t seconds after launch is given by the equation . The average rate of change in h(t) between t = 1 second and t = 3 second is 6. What does the average rate of change tell you about the rocket?

Question illustration
A
The rocket is traveling six times as fast when t = 3 than it is when t = 1.
B
The rocket is at a greater height when t = 3 than it is when t = 1.
C
The rocket is 6 feet higher above the ground when t = 3 than it is when t = 1.
D
The rocket is traveling at a constant rate of 6 feet per second between t = 1 and t = 3.
13

Which description could be written as a linear function?

A
eight more than twice a number
B
three more than the product of two numbers
C
ten more than the square of a number
D
nine more than one divided by a number
15

Which equation represents a linear function?

A
y(x – 1) = 9
B
y – 5 = x(–x + 2)
C
y(y – 1) = x + 25
D
y – 5 = x – 20

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