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SPONSE QUESTIONS CALCULUS BC SECTION II, Part B Time-60 minutes Number of problems-4 No calculator is allowed for these problems. 50% (4, 4) 10 2 24 8 F ( x ) = Jf'(x)dx 16 - 4 (-4, -4) (8,-4) (12, -4) Graph of f 4 3. The figure above shows the graph of the piecewise-linear function f. For -4 S x 5 12, the function g is defined by 8 ( x ) = [ if ( 1 ) at. (a) Does g have a relative minimum, a relative maximum, or neither at x = 10 ? Justify your answer. g '(x) = f (t) (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 5 x $ 12, Justify your answers. (d) For -4 S x 5 12, find all intervals for which g(x) 5 0