SOLUTION: Sketch the graph of f(x)= (x^2-4)/(x-2); where X is not = to 2

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Question 149337This question is from textbook Caluculus of Single Variable
: Sketch the graph of f(x)= (x^2-4)/(x-2); where X is not = to 2 This question is from textbook Caluculus of Single Variable

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!

The circle at x=-2 signifies that no value for f(x) is given there.
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Algebraically, what's going on is,
%28x%5E2-4%29=%28x%2B2%29%28x-2%29
So when you do the division,
%28x%5E2-4%29%2F%28x-2%29=%28x%2B2%29%28x-2%29%2F%28x-2%29
%28x%5E2-4%29%2F%28x-2%29=x%2B2
The graph looks like the line, y=x%2B2, except at x=-2 where it is undefined, because of division by zero.