True or False: A rational function must always have an x-intercept.

Economists use what is called a Leffer curve to predict the government revenue for tax rates from 0% to 100%. Economists agree that the end points of the curve generate 0 revenue, 10x(100-x) , where R is revenue in millions at a tax but disagree on the tax rate that produces the maximum revenue. Suppose an economist produces this rational function R(x) = 75+ x rate of x percent. Use a graphing calculator to graph the function. What tax rate produces the maximum revenue? What is the maximum revenue? OA. 39.6%; $209 million OB. 35.8%; $209 million OC. 37.5%; $210 million OD. 34.9%; $207 million C

Write an equation for a rational function with the following properties: • Vertical asymptotes at x = 1 and x = -2. • Zeros (x-intercepts) at x = -3 and x = -5. A y-intercept at y = 10. ● r(x) = Leave your equation in factored form.

Give an example of a rational function that doesn't have a vertical asymptote.