College Math Placement Test Functions 5

Question 1

What is the average rate of change of f(x) = x² + 2x from x = 1 to x = 4?

Accepted Answer

7

Answer

5

Answer

9

Answer

11

Question 2

If f(x) = log₂(x), then f(32) equals:

Accepted Answer

5

Answer

4

Answer

6

Answer

16

Question 3

The function f(x) = -2(x - 1)² + 8 has a maximum value of:

Accepted Answer

8

Answer

1

Answer

-2

Answer

6

Question 4

Which of the following pairs of functions are inverses of each other?

Accepted Answer

f(x) = x + 5 and g(x) = x - 5

Answer

f(x) = 2x and g(x) = x/2 + 1

Answer

f(x) = 3x and g(x) = x + 3

Answer

f(x) = x² and g(x) = x²

Question 5

If f(x) = x/(x-2), what happens to f(x) as x approaches 2?

Accepted Answer

f(x) approaches infinity

Answer

f(x) approaches 0

Answer

f(x) approaches 1

Answer

f(x) approaches -2

Question 6

Which transformation of f(x) results in a vertical stretch by a factor of 3?

Accepted Answer

3f(x)

Answer

f(3x)

Answer

f(x/3)

Answer

f(x) + 3

Question 7

Given that f is a linear function with f(0) = -4 and f(3) = 2, find f(6).

Accepted Answer

8

Answer

6

Answer

10

Answer

12