The graph of a function f(x) is shown. Let F(x) be the antiderivative of f(x). W

Question

The graph of a function f(x) is shown. Let F(x) be the antiderivative of f(x). Where is F(x) increasing? Where is F(x) decreasing? Where is F(x) concave up? Where is F(x) concave down? Where does F(x) have an inflection point? Where does F(x) have a maxima? Where does F(x) have a minima? Using your answers to parts (i) - (vii) make a rough sketch of an antiderivative F(x), given that F(0) = 0. On your sketch, label where F(x) has maxima, minima, and inflection points. Label the intervals where F(x) is increasing or decreasing, and where F(x) is concave up or concave down.

Explanation / Answer

1.a 2.b 1.d 4.e 5.b 6.b 7.d

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