5. Rational Functions

Graph each rational function. See Examples 5–9. ƒ(x)=3x/(x^2-x-2)

In Exercises 57–80, follow the seven steps to graph each rational function. f(x)=(x+2)/(x^2+x−6)

In Exercises 57–80, follow the seven steps to graph each rational function. f(x)=(x−2)/(x^2−4)

Solve each problem. Work each of the following. Find an equation for a possible corresponding rational function.

Solve each problem. Work each of the following. Find an equation for a possible corresponding rational function.

In Exercises 57–80, follow the seven steps to graph each rational function. f(x)=x^4/(x^2+2)

Solve each problem. Find a rational function ƒ having the graph shown.

In Exercises 89–94, the equation for f is given by the simplified expression that results after performing the indicated operation. Write the equation for f and then graph the function. 5x^2/(x2−4) ⋅ (x^2+4x+4)/(10x^3)

In Exercises 89–94, the equation for f is given by the simplified expression that results after performing the indicated operation. Write the equation for f and then graph the function. x/(2x+6) − 9/(x^2−9)

In Exercises 89–94, the equation for f is given by the simplified expression that results after performing the indicated operation. Write the equation for f and then graph the function. (1 − 3/(x+2)) / (1 + 1/(x−2))