Find the vertical asymptotes, if any, and the values of x corresponding to holes, if any, of the graph of the rational function. h(x) = x(x - 8) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. (Type an equation. Use commas to separate answers as needed.) A. The vertical asymptote(s) is(are) There are no holes. B. There are no vertical asymptotes but there is(are) hole(s) corresponding to C. The vertical asymptote(s) is(are) and hole(s) corresponding to O D. There are no discontinuities.

I know that the answer is D; however, I am unsure of how to get that, could I please have a easy step-by-step explanation?

The figure below shows the graph of a rational function f., It has vertical asymptotes x= -1 and x=-5, and horizontal asymptote y = 0. The graph does not have an x-intercept, and it passes through the point (-4,-2). The equation for f(x) has one of the five forms shown below. Choose the appropriate form for f(x), and then write the equation. You can assume that f(x) is in simplest form. Of(x) = f(x) = of(x) = Of(x) = Of(x) = a x - b a (x - b) X C a (x - b) (x - c) a(x - b) (x - c)(x - d) a (x - b) (x - c) - (x - d)(x - e) = - = 8 10 0 0 00 10 OO 100 00

Find the horizontal asymptote, if any, of the graph of the rational function. 10x2 g(x) = 5x + 8 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The horizontal asymptote is (Type an equation.) O B. There is no horizontal asymptote. Click to select and enter your answer(s).