College Math Placement Test Functions 4

Question 1

If f(x) = x² - 4 and g(x) = x + 2, what is (f/g)(x) for x ≠ -2?

Accepted Answer

x - 2

Answer

x + 2

Answer

x² - 4x - 8

Answer

(x+2)(x-2)

Question 2

The graph of y = f(x) is shifted 3 units left and 2 units down. The new equation is:

Accepted Answer

y = f(x+3) - 2

Answer

y = f(x+3) + 2

Answer

y = f(x-3) - 2

Answer

y = f(x-3) + 2

Question 3

If f(x) = 2^x, what is the value of f(0) + f(3)?

Accepted Answer

9

Answer

8

Answer

10

Answer

11

Question 4

Which of the following functions is NOT a polynomial function?

Accepted Answer

f(x) = x^(1/2) + 2

Answer

f(x) = 3x⁴ - x + 7

Answer

f(x) = -5

Answer

f(x) = x³ - 2x² + 1

Question 5

For f(x) = |2x - 6|, at what value of x does the graph have a corner (vertex)?

Accepted Answer

x = 3

Answer

x = 2

Answer

x = 6

Answer

x = -3

Question 6

If a function f is even and f(4) = 7, then f(-4) equals:

Accepted Answer

7

Answer

-7

Answer

-4

Answer

Cannot be determined

Question 7

Which set of ordered pairs does NOT represent a function?

Accepted Answer

{(1,2),(1,3),(2,4)}

Answer

{(1,2),(3,4),(5,6)}

Answer

{(0,0),(1,1),(2,2)}

Answer

{(2,1),(3,1),(4,1)}