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. ƒ(x)=[(x-5)(x-2)]/(x²+9)

Graph each rational function. ƒ(x)=(3x²+3x-6)/(x²-x-12)

Graph each rational function. See Examples 5–9.

$\text{ƒ}\left(x\right)=x/(4-x^2)$

Graph each rational function. ƒ(x)=(x+2)/(x-3)