AP Precalculus Unit 1 Part B Passwater's MCQ Exam Review

The figure shows the graph of a function f for 0 ≤ x ≤ 5. Which of the following statements is true about the function f?

• (A) f is increasing at an increasing rate.

• (B) f is increasing at a decreasing rate.

• (C) f is decreasing at an increasing rate.

• (D) f is decreasing at a decreasing rate.

Tags

CCSS.HSF.IF.B.4

The figure shows the graph of a function g for 0 ≤ x ≤ 5. Which of the following statements is true about the function g?

• (A) g is increasing at an increasing rate.

• (B) g is increasing at a decreasing rate.

• (C) g is decreasing at an increasing rate.

• (D) g is decreasing at a decreasing rate.

Tags

CCSS.HSF.IF.B.4

The figure shows the graph of a function h for 0 ≤ x ≤ 5. Which of the following statements is true about the function h?

• (A) h is increasing at an increasing rate.

• (B) h is increasing at a decreasing rate.

• (C) h is decreasing at an increasing rate.

• (D) h is decreasing at a decreasing rate.

Tags

CCSS.HSF.IF.B.4

The figure shows the graph of a function k for 0 ≤ x ≤ 5. Which of the following statements is true about the function k?

• (A) k is increasing at an increasing rate.

• (B) k is increasing at a decreasing rate.

• (C) k is decreasing at an increasing rate.

• (D) k is decreasing at a decreasing rate.

Tags

CCSS.HSF.IF.B.4

The table gives values for a continuous function f at selected values of x. What is the average rate of change of f over the closed interval [0, 3]?

• 1/2

• 1

• 2

• 3

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CCSS.HSF.IF.B.6

CCSS.8.F.B.4

The table gives values for a continuous function h at selected values of x. What is the average rate of change of h over the closed interval [3, 9]?

• -2

• -1

• -1/2

• 1/2

Tags

CCSS.HSF.IF.B.6

CCSS.8.F.B.4

Let g be the piecewise function defined by g(x) (see picture). What is the average rate of change of g over the closed interval [-2, 4]?

• -2

• 1

• 2

• 7/3

Tags

CCSS.HSF.IF.B.6

CCSS.8.F.B.4

Let h be the piecewise function defined by h(x) (see picture). What is the average rate of change of h over the closed interval from x = 1 to x = 5?

• 13/4

• -3

• -1/3

• 6

Tags

CCSS.HSF.IF.B.6

CCSS.8.F.B.4

Let k be the piecewise function defined by k(x) (see picture), where a is a constant. Over the closed interval -4 <= x <= 2, the average rate of change of k is 2. What is the value of a?

• 1/27

• 1/13

• 13

• 27

Tags

CCSS.HSF.IF.B.6

CCSS.8.F.B.4

The table shows values for a function g at selected values of x. Which of the following claim and explanation statements best fit these data?

• g is best modeled by a linear function, because the rate of change over consecutive equal-length input-value intervals is constant.

• g is best modeled by a linear function, because the change in the average rates of change over consecutive equal-length input-value intervals is constant.

• g is best modeled by a quadratic function, because the rate of change over consecutive equal-length input-value intervals is constant.

• g is best modeled by a quadratic function, because the change in the average rates of change over consecutive equal-length input-value intervals is constant.

Tags

CCSS.HSF.IF.B.4