### Home > PC3 > Chapter 9 > Lesson 9.1.2 > Problem9-34

9-34.

Sketch the graph of $y =\frac { 6 x - 2 } { x + 5 }$.

$y=\frac{6(x+5)-32}{x+5}$

1. What is the domain?

Division by $0$ is undefined, so what value of $x$ must be excluded from the domain?

1. What happens as $x → −5$?

This is the horizontal asymptote.

1. What happens as $x → ∞$?

What special feature does the curve have at $x = 5$?

1. What happens as $x → −∞$?

This is the horizontal asymptote.