AP Calculus AB Practice Test 38

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Question 9 questions

Time 18 minutes

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1. Use the graph below, consisting of two line segments and a quarter-circle. The graphshows the velocity of an object during a 6-second interval.

For how many values of t in the interval 0 < t < 6 is the acceleration undefined?

2. Use the graph below, consisting of two line segments and a quarter-circle. The graphshows the velocity of an object during a 6-second interval.

During what time interval (in sec) is the speed increasing?

3. Use the graph below, consisting of two line segments and a quarter-circle. The graphshows the velocity of an object during a 6-second interval.

What is the average acceleration (in units/sec2) during the first 5 seconds?

4. The curve of has

5. Suppose

Which statement is true?

6. The function f (x) = x5 + 3x - 2 passes through the point (1, 2). Let f -1 denote the inverse of f. Then (f -1) (2) equals

7.

8. Which of the following statements is (are) true about the graph of y = ln (4 + x2)?

I. It is symmetric to the y-axis.

II. It has a local minimum at x = 0.

III. It has inflection points at x = ±2.

9. Let sin πx. Then f (3) =