91Ó°ÊÓ

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 \((2,0), y\) -intercept at \((0,4)\)

For the following exercises, write an equation for a rational function with the given characteristics. Vertical asymptotes at \(x=-4\) and \(x=-1, x\) -intercepts at \((1,0)\) and \((5,0), y\) -intercept at \((0,7)\)

For the following exercises, write an equation for a rational function with the given characteristics. Vertical asymptotes at \(x=-4\) and \(x=-5, x\) -intercepts at \((4,0)\) and \((-6,0),\) Horizontal asymptote at \(y=7\)

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 asymptote at \(x=-1,\) Double zero at \(x=2, y\) -intercept at \((0,2)\)

For the following exercises, write an equation for a rational function with the given characteristics. Vertical asymptote at \(x=3,\) Double zero at \(x=1, y\) -intercept at \((0,4)\)

For the following exercises, make tables to show the behavior of the function near the vertical asymptote and reflecting the horizontal asymptote $$f(x)=\frac{1}{x-2}$$

For the following exercises, make tables to show the behavior of the function near the vertical asymptote and reflecting the horizontal asymptote $$f(x)=\frac{x}{x-3}$$

For the following exercises, make tables to show the behavior of the function near the vertical asymptote and reflecting the horizontal asymptote $$f(x)=\frac{2 x}{x+4}$$

For the following exercises, make tables to show the behavior of the function near the vertical asymptote and reflecting the horizontal asymptote $$f(x)=\frac{2 x}{(x-3)^{2}}$$