Develop the equation of a rational function where the following criteria are met. • 3 Vertical asymptotes • f(x) ≤ 0 over its entire domain • f(−x) = f(x) • has 2 x-intercepts

For the following exercises, write an equation for a rational function with the given characteristics. Vertical asymptotes at x=3 and x=6,x-intercepts at (2,0) and (1,0), horizontal asymptote at y=2

For the following exercises, write an equation for a rational function with the given characteristics. Vertical asymptotes at x=5 and x=5 , x-intercepts at (2,0) and (1,0),y-intercept at (0,4)

A company that makes and sells baseball caps has found that the total monthly cost C in dollars of producing x caps is given by the function C(x)=0.2x280x+9000. Find the production level that will minimize the monthly cost and find the minimum cost.

Rational Function Is y=xx1+x a rational function?

For the following exercises, construct a rational function that will help solve the problem. Then, usea calculator toanswer the question. 85. A rectangular box with a square base is to have avolume of 20 cubic feet. The material for the basecosts 30 cents/square foot. The material for the sidescosts 10 cents/square foot. The material for the topcosts 20 cents/square foot. Determine the dimensionsthat will yield minimum cost. Let x= length of theside of the base.

For the following exercises, write an equation for a rational function with the given characteristics. Vertical asymptote at x=1, double zero at x=2,y-intercept at (0,2)