CPM Homework Help : PCT Problem 9-117

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9-117.

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

Step:

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

What is the domain?
Hint (a):
Division by $0$ is undefined, so what value of $x$ must be excluded from the domain?

What happens as $x → −5$ ?
Hint (b):
What special feature does the curve have at $x = 5$ ?

What happens as $x$ approaches positive infinity?
Hint (c):
This is the horizontal asymptote.

What happens as $x$ approaches negative infinity?
Hint (d):
This is the horizontal asymptote.

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