AP Precalculus Unit 1 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

Tags

CCSS.HSF.IF.B.4

The table above 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]

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

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.

Tags

CCSS.HSF.IF.B.4

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

• 3/10

• 2/5

• 0

• 1

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

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

Tags

CCSS.HSF-IF.C.7D

• 0

• 1

• 4

• 6

The graph of the polynomial function p is shown above. Which of the following could be an expression for P(x)?

Tags

CCSS.HSA.APR.B.3

Selected values of the polynomial k are shown in the table above. Which of the following claim and explanation statements could be true about k(x)?

• The graph of k could be concave up because the average rates of change over consecutive equal-length input-value intervals are positive.

• The graph of k could be concave up because the average rates of change over consecutive equal-length input-value intervals are increasing.

• The graph of k could be concave down because the average rates of change over consecutive equal-length input-value intervals are decreasing.

• The graph of k could be concave down because the average rates of change over consecutive equal-length input-value intervals are negative.

Tags

CCSS.HSF.IF.B.4

• x = -4 only

• x = 2 only

• x = -4 and x = 5 only

• x = -4, x = 2 and x = 5

Tags

CCSS.HSF-IF.C.7D

The graph of the function h(x) is shown above. Which of the following statement pairs about h is true?

• The rate of change of h is positive and increasing.

• The rate of change of h is positive and decreasing.

• The rate of change of h is negative and increasing.

• The rate of change of h is negative and decreasing.

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6