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AP Calculus AB Midterm Review. If, thenis A. B. C. D.

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Presentation on theme: "AP Calculus AB Midterm Review. If, thenis A. B. C. D."— Presentation transcript:

1 AP Calculus AB Midterm Review

2 If, thenis A. B. C. D.

3

4 If, then

5 Write the equation of the line tangent toat

6 The graph ofhas vertical asymptote(s) at

7

8 For what values of x is concave up?

9 If f(1)=2 and f(1)=5, use the equation of the tangent line to the graph of f(x) at x=1 to approximate f(1.2).

10 The graph of f (x) is shown at right. Which of the following could be the graph of f (x)? A. B. C. D. E. f (x)

11 Which of the following statements is true about the figure at right? A. exists B. exists C. D. E.

12 How many points of inflection are there for the function on the interval ? A.0 B.1 C.2 D.3 E.4

13 GRAPHING CALCULATOR ALLOWED Consider the function. For what value(s) of x is the slope of the tangent line equal to 5?

14 A pebble thrown into a pond creates circular ripples such that the rate of change of the radius is 6 cm/sec. How fast is the area of the ripple changing when the circumference is cm? sq.cm./sec.

15 GRAPHING CALCULATOR ALLOWED Find the average rate of change of on the interval. A B C D E.Undefined

16 In the figure shown at right, which of the following is true? The average rate of change of f(x) on [1,3] equals A. B. C. D. E.

17 A function f(x) is continuous on [a,b]. Which of the following must be true? A.f has a maximum on [a,b] B. f has a point of inflection on [a,b] C. for at least one c in the interval [a,b] D. for at least one c in the interval [a,b] E. f has a critical value on the interval (a,b)

18 If, then

19 CHALLENGE!


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