Bluebook SAT Math: Advanced Functions Questions and Answers 3

Question 1

If f(x) = 2x³ - 5x² + 3x - 1 and g(x) = x² + 2x - 3, what is the value of f(2) - g(-1)?

Accepted Answer

11

Answer

7

Answer

9

Answer

13

Question 2

A manufacturing company's profit function is P(x) = -2x² + 80x - 300, where x represents the number of items produced (in hundreds) and P(x) represents profit in thousands of dollars. What is the maximum profit the company can achieve?

Accepted Answer

$700,000

Answer

$500,000

Answer

$900,000

Answer

$1,100,000

Question 3

Which of the following represents the inverse function of f(x) = (3x - 2)/5?

Accepted Answer

f⁻¹(x) = (5x + 2)/3

Answer

f⁻¹(x) = (5x - 2)/3

Answer

f⁻¹(x) = (3x + 2)/5

Answer

f⁻¹(x) = 5x - 2/3

Question 4

If h(x) = 4^x and k(x) = log₄(x), what is the value of h(k(64))?

Accepted Answer

64

Answer

16

Answer

32

Answer

256

Question 5

The function g(x) = |2x - 6| + 1 has its minimum value at x = a. What is the value of 3a - 2?

Accepted Answer

7

Answer

5

Answer

9

Answer

11

Question 6

For the piecewise function f(x) = {x² + 1 if x ≤ 2; 2x + 3 if x > 2}, what is f(f(1))?

Accepted Answer

10

Answer

7

Answer

14

Answer

17