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AP Calculus AB Midterm Review

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If, thenis A. B. C. D.

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If, then

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Write the equation of the line tangent toat

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The graph ofhas vertical asymptote(s) at

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For what values of x is concave up?

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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).

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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)

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

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

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

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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.

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

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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.

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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)

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If, then

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CHALLENGE!

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