Question

which is a graph of f(x)=5x-2/x+2with any vertical or horizontal asympototes indicated by the dash lines?​

Answer 1

Answer:

See attachment

Step-by-step explanation:

The given function is $f(x)=\frac{5x-2}{x+2}$.

This rational function has a vertical asymptote at where the denominator is zero.

The denominator $x+2=0$ when $x=-2$

There is vertical asymptote at $x=-2$

The horizontal asymptote for this rational function is given by the ratio of the leading coefficient of the numerator to the leading coefficient of the denominator.

$y=\frac{5}{1}$

The horizontal asymptote is $y=5$

The graph of this rational function is shown in the attachment