Bluebook SAT Test Algebra and Functions 3

Question 1

If h(x) = x² - 2x + 5, what is h(x + 1)?

Accepted Answer

x² + 4

Answer

x² + 2x + 4

Answer

x² - 4

Answer

x² + 6

Question 2

For what value of x does the function f(x) = (x - 2)/(x² - 9) have a vertical asymptote?

Accepted Answer

x = 3 and x = -3

Answer

x = 2 only

Answer

x = 3 only

Answer

x = -3 only

Question 3

If f(x) = 3x - 1 and g(f(x)) = x, what is g(x)?

Accepted Answer

(x + 1)/3

Answer

(x - 1)/3

Answer

3x + 1

Answer

(x + 3)/1

Question 4

A function f is increasing for all x. Which of the following could be f?

Accepted Answer

f(x) = 2^x

Answer

f(x) = -x²

Answer

f(x) = cos(x)

Answer

f(x) = -3x + 1

Question 5

The function p(x) = ax + b satisfies p(2) = 7 and p(5) = 13. What is a + b?

Accepted Answer

5

Answer

3

Answer

2

Answer

7

Question 6

Which of the following functions is neither even nor odd?

Accepted Answer

f(x) = x³ + x²

Answer

f(x) = x² + 4

Answer

f(x) = x³ + x

Answer

f(x) = 2x

Question 7

If f(x) = x + 3 and g(x) = x² - 1, what is g(f(x)) - f(g(x))?

Accepted Answer

6x + 8

Answer

6x

Answer

6x - 8

Answer

8

Question 8

What is the range of f(x) = 3/(x² + 1)?

Accepted Answer

0 < f(x) ≤ 3

Answer

f(x) ≥ 0

Answer

All real numbers

Answer

f(x) > 3