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**f(x) = x****3 ****– 8x****2 ****– 20x**

a) How do you find x and y intercepts? Find intercepts.

x-intercept

y-intercept

b) How can the first derivative help you to graph a function? Find the first derivatives and the critical numbers and intervals of increasing or decreasing of the given function.

Critical values:

Increasing on :

Decreasing on:

c) What is the value of the slope at a local maximum or minimum point on a curve? Find ordered pair for the maximum and minimum of f(x)

Maximum point=

Minimum point=

d) How can second derivative help you to graph a function? Find the second derivative. Show intervals where function concaves Upward and Downward

Downward on :

Upward on:

How do you find vertical and horizontal asymptotes?