5. Rational Functions

Match the rational function in Column I with the appropriate description in Column II. Choices in Column II can be used only once.

$\text{ƒ}\left(x\right)=\frac{(x+7)}{(x+1)}$

In Exercises 21–36, find the vertical asymptotes, if any, and the values of x corresponding to holes, if any, of the graph of each rational function. f(x)=(x²−9)/(x−3)

In Exercises 21–36, find the vertical asymptotes, if any, and the values of x corresponding to holes, if any, of the graph of each rational function. h(x)=(x+7)/(x²+4x−21)

Give the equations of any vertical, horizontal, or oblique asymptotes for the graph of each rational function. See Example 4.

$\text{ƒ}\left(x\right)=(x^2+4)/(x-1)$

In Exercises 45–56, use transformations of f(x)=1/x or f(x)=1/x² to graph each rational function. h(x)=1/x + 2

In Exercises 45–56, use transformations of f(x)=1/x or f(x)=1/x^2 to graph each rational function. g(x)=1/(x+1) − 2

In Exercises 45–56, use transformations of f(x)=1/x or f(x)=1/x² to graph each rational function. g(x)=1/(x+2)²