5. Rational Functions

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

Follow the seven steps to graph each rational function. f(x)=2x²/(x²−1)

Follow the seven steps to graph each rational function. f(x)=−x/(x+1)

Follow the seven steps to graph each rational function. f(x)=− 1/(x²−4)

In Exercises 57–80, follow the seven steps to graph each rational function. f(x)=(x²+x−12)/(x²−4)

Use long division to rewrite the equation for g in the form quotient + remainder/divisor. Then use this form of the function's equation and transformations of f(x) = 1/x to graph g. g(x)=(3x−7)/(x−2)

Use transformations of f(x) = (1/x) or f(x) = (1/x²) to graph each rational function. g(x) = 1/(x + 2)² - 1