CPM Homework Help : PC3 Problem 8-50

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8-50.

Sketch the graph of a function that has each of the following sets of attributes:

A vertical asymptote at $x = 4$ .
At $x = 3$ , $f(x) = –2$ .
As $x → 4^{–}$ , $f(x) → ∞$ .
As $x → 4^{+}$ , $f(x) → –∞$ .
Hint (a):
Your function should have a vertical asymptote at $x = 4$ .

A horizontal asymptote at $y = 3$ .
Has $y$ -intercept at $–2$ .
As $x → ∞$ , $g(x) → –∞$ .
Domain of all real numbers.
Hint (b):
Your function should not have a vertical asymptote.

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