AP PreCalculus Unit 1A MCQ Review AP Style

At time t = 0, water begins pouring into an empty container at a constant rate. The water pours into the container until it is full. As the water begins to pour into the container at a constant rate, the depth of water in the container increases at an increasing rate for a period of time, and then the depth of water increases at a decreasing rate until the container is full. Which of the following containers would be appropriate for the given scenario?

• (A)

• (B)

• (C)

• (D)

How many points of inflection does the graph of f have?

• 1

• 2

• 3

• 4

Which of the following statements about the graph of f is correct?

• On the interval 7 < x < 9, f is positive and increasing.

• On the interval 7 < x < 9, f is positive and decreasing.

• On the interval 7 < x < 9, f is negative and increasing.

• On the interval 7 < x < 9, f is negative and decreasing.

Which of the following statements about the graph of f is correct?

• On the interval 1 < x < 3, f is increasing at an increasing rate.

• On the interval 1 < x < 3, f is increasing at a decreasing rate.

• On the interval 1 < x < 3, f is decreasing at an increasing rate.

• On the interval 1 < x < 3, f is decreasing at a decreasing rate.

Which of the following statements about the graph of f is correct?

• On the interval 0 < x < 1, f is increasing and the graph of f is concave up.

• On the interval 0 < x < 1, f is increasing and the graph of f is concave down.

• On the interval 0 < x < 1, f is decreasing and the graph of f is concave up.

• On the interval 0 < x < 1, f is decreasing and the graph of f is concave down.

Which of the following statements about the graph of f is correct?

• On the interval 5 < x < 7, the rate of change of f is positive and increasing.

• On the interval 5 < x < 7, the rate of change of f is positive and decreasing.

• On the interval 5 < x < 7, the rate of change of f is negative and increasing.

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

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

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

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

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

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

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

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

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

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

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

• 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.

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

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

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

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

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