Question

For the function r(x)=x3+6x2x2−36, find the following.

a. the y - intercept

b. the x - intercepts

c. all horizontal asymptotes. y =

d. all vertical asymptotes. x =

Answer 1

The function is x^3+6x^2/x^2+36.

Answer 2

A rancher wants to build a rectangular pen with an area of 150 m^2?

a. Find an equation for the perimeter P in terms of W and L .


b. Use the given area to write an equation that relates W and L .


c. Find the pen dimensions that require the minimum amount of fencing.
Width =
Length =

Answer 3

There are no vertical asymptotes, since x^2+36 is never zero

no horizontal asymptotes, since the degree of the numerator is greater than that of the denominator.

There is a slant asymptote at y=x

x-intercepts where x^3+6x^2 = 0
y-intercept where x=0