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1 2 Use the given graph of f to find the following a The open intervals on which f is increasing b The open intervals on which f is decreasing c The open intervals on which f is concave upward d The open intervals on which f is concave downward e The coordinates of the points of inflection 1 y 2 y 1 0 1 x 4 a State the First Derivative Test b 5 yt 1 0 3 Suppose you are given a formula for a function f a How do you determine where f is increasing or decreasing b How do you determine where the graph of f is concave upward or concave downward c How do you locate inflection points 1 State the Second Derivative Test Under what circum stances is it inconclusive What do you do if it fails y f x 5 6 The graph of the derivative f of a function f is shown a On what intervals is f increasing Decreasing b At what values of x does f have a local maximum Local minimum X 6 YA 2 YA 0 y f x 7 In each part state the x coordinates of the inflection points of f Give reasons for your answers a The curve is the graph of f b The curve is the graph of f c The curve is the graph of f 2 4 4 6 X m 6 8 8 The graph of the first derivative f of a function f is shown a On what intervals is f increasing Explain b At what values of x does f have a local maximum or minimum Explain y f x X c On what intervals is f concave upward or concave downward Explain d What are the x coordinates of the inflection points of f Why

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