2016 AP CALCULUS AB FREE-RESPONSE QUESTIONS CALCULUS AB SECTION II, Part B Time-60 minutes Number of...

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2016 AP® CALCULUS AB FREE-RESPONSE QUESTIONS CALCULUS AB SECTION II, Part B Time-60 minutes Number of problems-4 No calculator is allowed for these problems. (4,4) Mx 2 6 10 12 (8,-4) (12,-4) Graph of f 3. The figure above shows the graph of the piecewise-linear function f. For -4 ≤ x ≤ 12, the function g is defined by g(x) = f(t) dr. (a) Does g have a relative minimum, a relative maximum, or neither at x 10? Justify your answer. (b) Does the graph of g have a point of inflection at x = 4? Justify your answer. (c) Find the absolute minimum value and the absolute maximum value of g on the interval -4 ≤ x ≤ 12. Justify your answers. (d) For -4 ≤ x ≤ 12, find all intervals for which g(x) ≤ 0. 2016 The College Board. Mixit the Collcan Board on the Web: www.collegeboard.org 2016 AP® CALCULUS AB FREE-RESPONSE QUESTIONS CALCULUS AB SECTION II, Part B Time-60 minutes Number of problems-4 No calculator is allowed for these problems. (4,4) Mx 2 6 10 12 (8,-4) (12,-4) Graph of f 3. The figure above shows the graph of the piecewise-linear function f. For -4 ≤ x ≤ 12, the function g is defined by g(x) = f(t) dr. (a) Does g have a relative minimum, a relative maximum, or neither at x 10? Justify your answer. (b) Does the graph of g have a point of inflection at x = 4? Justify your answer. (c) Find the absolute minimum value and the absolute maximum value of g on the interval -4 ≤ x ≤ 12. Justify your answers. (d) For -4 ≤ x ≤ 12, find all intervals for which g(x) ≤ 0. 2016 The College Board. Mixit the Collcan Board on the Web: www.collegeboard.org

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