PSAT Math Multiple-Choice Practice Test 36: Passport to Advanced Math: Functions

1. Given that and , what is the product of f (-5) and g (-5)?

2. For the two functions f(x) and g (x), tables of values follow. What is the value of f (g(1))?

3.

West Valley High School is encouraging students to wear school colors when they attend the home football games by giving a prize to one of the students who does so. The school finds that, as the prizes get more exciting, participation begins to increase. If j represents the game number and f (j) represents the number of students in school colors at game j, which of the following functions best describes the information in the table?

A.

B.

C.

D.

4. Scientists are modeling population trends and have noticed that when a certain bacterial population changes, the change is based on a linear function of the amount of time elapsed in hours. When t = 21 hours, the population is 8 colonies, and when t = 35 hours, the population is 10 colonies. Which of the following best describes f (t)?

A.

B.

C.

D.

5. If f(x) = x² - x for all x ≤ -1 and f(x) = 0 for all x > -1, which of the following could NOT be a value of f(x)?

C.

6. If and where x≠-1, what is g(f(3)) ?

A.

B.

D.

7. If h(x) = 3x - 1, what is the value of h(5) - h(2)?

8.

Several values for the functions g(x) and h(x) are shown in the tables above. What is the value of g(h(-2))?

9. If f(x) = -4x + 1 and what is the value of ?

10.

In the figure shown above, what is the value of

11.

The graph of f(x) is shown above. Which of the following represents the domain and range of the function?

12.

The figure shown above represents the function Which statement about the function is NOT true?

13.

In the figure shown above, what is the value of f(3) - g(3)?