AP Precalculus Unit 2 Multiple Choice Questions

The graph of k(x) is shown above. Which of the following best describes the graph of k(x)?

• Increasing and concave up

• Increasing and concave down

• Decreasing and concave up

• Decreasing and concave down

The graph of h(x) is shown above. Which of the following best describes the graph of h(x)?

• Increasing and concave down

• Decreasing and concave down

• Increasing and concave up

• Decreasing and concave up

A function k(x) has a rate of change that is increasing on the interval [a, b]. The function k must be

• increasing

• decreasing

• concave up

• concave down

A function k(x) has a rate of change that is decreasing on the interval [a, b]. The function k must be

• increasing

• decreasing

• concave up

• concave down

• f demonstrates exponential growth because a > 0 and b > 1

• f demonstrates exponential growth because a > 0 and 0 < b < 1

• f demonstrates exponential decay because a > 0 and b > 1

• f demonstrates exponential decay because a > 0 and 0 < b < 1

• A

• B

• C

• D

Values of the terms of an arithmetic sequence a_n are shown in the graph above. Which of the following is an expression for the nth term of the arithmetic sequence?

• a_n = 13 - 3(n - 1)

• a_n = 10 - 3(n - 1)

• a_n = 10 + 3(n - 1)

• a_n = 13 + 3(n - 1)

The value of the Super X-Jet Ski is modeled by the function J. The value of the jet ski is expected to decrease by 12% each year. At time t = 0 years, the value of the jet ski was $23,400. Which of the following expressions gives the value of the jet ski after m months?

The table above gives values for the functions f and g at selected values of x. Functions f and g are defined for all real numbers. Let h(x) = g(f(x)). What is the value of h(5)?

• 3

• -2

• -4

• 6