Question

For the function f(x) =x(x−4)^3 • Find all x-intercepts and find the y-intercept • Find all...

For the function

f(x) =x(x−4)^3

Find all

x-intercepts and find the

y-intercept

Find all critical numbers,

Determine where the function is increasing and where it is decreasing,

Find and classify the relative extrema,

Determine where the function is concave up and where it is concave down,

Find any inflection points, and Use this information to sketch the graph of the function.

Use this information to sketch the graph of the function.

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