5. Rational Functions

Give the equations of any vertical, horizontal, or oblique asymptotes for the graph of each rational function. ƒ(x)=3/(x-5)

Graph each rational function. ƒ(x)=(x²+2x+1)/(x²-x-6)

Use the graphs of the rational functions in choices A–D to answer each question.

There may be more than one correct choice. If ƒ represents the function, only one choice has a single solution to the equation ƒ(x)=3. Which one is it?

Follow the seven steps to graph each rational function. f(x)=2x/(x²−4)

Find the horizontal asymptote, if there is one, of the graph of each rational function. g(x)=12x²/(3x²+1)

Work each problem. Choices A–D below show the four ways in which the graph of a rational function can approach the vertical line x=2 as an asymptote. Identify the graph of each rational function defined in parts (a) – (d). $\text{ƒ}\left(x\right)=1/(x-2)$

Graph each rational function. ƒ(x)=5x/(x²-1)