F X X 3 8x 2 20x A How Do You Find X And Y Intercepts Find Intercepts X Inte

f(x) = x3 – 8x2 – 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?