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Consider the function f(x) = −x3 + 4x2 + 7x + 1. (a) Use the first...

Consider the function f(x) = −x3 + 4x2 + 7x + 1.
(a) Use the first and second derivative tests to determine the intervals of increase and decrease, the
local maxima and minima, the intervals of concavity, and the points of inflection.
(b) Use your work in part (a) to compute a suitable table of x-values and corresponding y-values and carefully sketch the graph of the function f(x). In your graph, make sure to indicate any local extrema and any inflection points
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