SOLUTION: f(X)=2x+3 ---- x+2 Find the Horizontal and Vertical asympotes.

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Question 107633This question is from textbook Blitzer
: f(X)=2x+3
----
x+2
Find the Horizontal and Vertical asympotes. This question is from textbook Blitzer

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
The vertical asymptote occurs when the denominator goes to zero, that is,
f(x) goes to infinity and -infinity.
x%2B2=0
x=-2
The horizontal asymptotes occur as x goes to infinity and -infinity.
f%28x%29=%282x%2B3%29%2F%28x%2B2%29
As x goes to infinity,
f(x) looks like 2x%2Fx or 2.
As x goes to -infinity,
f(x) looks like 2%28-x%29%2F%28-x%29 or 2.
The horizontal asymptote is y=2.
+graph%28+300%2C+300%2C+-5%2C+5%2C+-10%2C+10%2C+%282x%2B3%29%2F%28x%2B2%29%2C2%29+