Function Inverses — Unit test

Question 1

If f(x) = x2 – 25 and g(x) = x – 5, what is the domain of ?

Revolt · Accepted Answer

all real values of x except x = 5

Question 2

A cashier earns $7 an hour. If x is the number of hours worked, which function represents the cashier’s earnings?

Revolt · Accepted Answer

y = 7x

Question 3

Which of the following is an odd function?

Revolt · Accepted Answer

g(x) = 4x

Question 4

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

Revolt · Accepted Answer

f(x) = g(x)2

Question 5

The tables for f(x) and g(x) are shown below.xf(x)–5–11–21113529xg(x)–5–7–2–115513What is the value of (f – g)(5)?

Revolt · Accepted Answer

16

Question 6

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?

Revolt · Accepted Answer

The rocket is at a greater height when t = 3 than it is when t = 1.

Question 7

Which graph represents an even function?

Revolt · Accepted Answer

A coordinate plane has 7 points. The points are (negative 4, negative 3), (negative 3, negative 5), (negative 2, 1), (0, 0), (2, 1), (3, negative 5), (4, negative 3).

Question 8

Which relation below represents a one-to-one function?

Revolt · Accepted Answer

A 2-column table has 5 rows. The first column is labeled x with entries 9, 2, 4, 1, 5. The second column is labeled f (x) with entries 12, 7, 9, 13, 5.

Question 9

What is the domain of the relation graphed below?

Revolt · Accepted Answer

domain:

Question 10

The cost of producing x soccer balls in thousands of dollars is represented by h(x) = 5x + 6. The revenue is represented by k(x) = 9x – 2. Which expression represents the profit, (k – h)(x), of producing soccer balls?

Revolt · Accepted Answer

4x – 8

Function Inverses — Unit test Answers

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