AP Precalculus Unit 1 Non Calculator Multiple Choice Questions

The graph of f(x) is shown above. On which of the following open intervals is the graph of f decreasing at an increasing rate?

• 0 < x < 1

• 0 < x < 2

• 1 < x < 2

• x > 1

The table gives certain values of the function g(x). On which of the following intervals is the average rate of change of g the greatest?

• [0,3]

• [0,6]

• [3,6]

• [6,10]

The graph of a function h is shown in the figure above. Which of the following best describes the behavior of the graph of h(x) from point P to point Q?

• The graph of h is increasing and concave up.

• The graph of h is increasing and concave down.

• The graph of h is decreasing and concave up.

• The graph of h is decreasing and concave down.

What is the average rate of change of g over the interval 0 ≤ x ≤ 5?

• 3/10

• 2/5

• 0

• 1

Suppose that for a cubic function f, at x = -4 the rate of change is positive, at x = 1, the rate of change is negative, and at x = 4, the rate of change is positive. Which statement is true about the graph of f?

• The graph of f has two maximum points on the interval (-4, 4)

• The graph of f has two minimum points on the interval (-4, 4)

• The graph of f has one maximum point on the interval (-4, 1) and one minimum point on the interval (1, 4).

• The graph of f has one minimum point on the interval (-4, 1) and one maximum point on the interval (1, 4).

A salesperson for Euler Industries earns a commission of $400 for the first 10,000 of sales and then $200 for each additional $10,000 or partial of sales. Let S(x) represent the commission earned for x dollars of sales. What is S(75,000)?

• $1,500

• $1,600

• $1,800

• $3,200

Which of the following functions has two vertical asymptotes, one horizontal asymptote, and no holes?

Suppose that the point (2, 4) is on the graph of y = j(x). Find a point on the graph of the given function with the given transformation of y = j(x + 2) + 2.

• (2, 2)

• (0, 6)

• (4, 6)

• (−2, −4)

• 0

• 1

• 4

• 6

• 2i

• 2i and −2i

• 4

• 4 and −4