5. Rational Functions

Graph the rational function using transformations.

$f\left(x\right)=-\frac{1}{x}+3$

Graph the rational function using transformations.

$f\left(x\right)=\frac{1}{\left(x+3\right)^2}-2$

Graph the rational function.

$f\left(x\right)=\frac{x+3}{x^2+5x+6}$

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

Graph each rational function. See Examples 5–9. ƒ(x)=(3x^2+3x-6)/(x^2-x-12)

Graph each rational function. See Examples 5–9.

$\text{ƒ}\left(x\right)=x/(4-x^2)$

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