Question

a. find the slant asymptote of the graph of the rational function.
b. follow the seven - step strategy and use the slant asymptote to graph the rational function.
$f(x)=\frac{x^{2}+5x - 6}{x - 6}$
a. select the correct choice below and, if necessary, fill in the answer box to complete the choice.
a. the equation of the slant asymptote is $y = x + 11$.
(type an equation.)
b. there is no slant asymptote.
b. to graph the function, first determine the symmetry of the graph of $f$. choose the correct answer below.
origin symmetry
neither y - axis symmetry nor origin symmetry
y - axis symmetry
what is the y - intercept? select the correct choice below and, if necessary, fill in the answer box to complete the choice.
a. the y - intercept is
(type an integer or a simplified fraction.)
b. there is no y - intercept.

Explanation:

Step1: Find the y - intercept

The y - intercept of a function \(y = f(x)\) is found by setting \(x = 0\).
For the function \(f(x)=\frac{x^{2}+5x - 6}{x - 6}\), substitute \(x = 0\) into the function:

$$
LATEXBLOCK0
$$

Answer:

A. The y - intercept is \(1\)