In Exercises 57–80, follow the seven steps to graph each rational function. f(x)=(3x²+x−4)/(2x²−5x)

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) = (2x+7)/(x+3)

Use the four-step procedure for solving variation problems given on page 447 to solve Exercises 1–10. y varies directly as x. y = 65 when x = 5. Find y when x = 12.

Find the domain of the rational function. Then, write it in lowest terms.

$f\(\left\)(x\(\right\))=\(\frac{x^2+9}{x-3}\)$

Provide a short answer to each question. What is the domain of the function ƒ(x)=1/x? What is its range?

Provide a short answer to each question. Is ƒ(x)=1/x² an even or an odd function? What symmetry does its graph exhibit?

Find the domain of each rational function. f(x)=(x+7)/(x²+49)

Use the graph of the rational function in the figure shown to complete each statement in Exercises 15–20.

As $x\to -2^{+},f\left(x\right)\to$ __