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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.

Math   Calculus   
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