SOLUTION: Which graph represents the function of f(x) = the quantity of 4 x squared minus 4 x minus 8, all over 2 x plus 2?

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Question 978535: Which graph represents the function of f(x) = the quantity of 4 x squared minus 4 x minus 8, all over 2 x plus 2?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
The function description is a bit ambiguous. Maybe you have f%28x%29=%284x%5E2-4x-8%29%2F%282x%2B2%29.

%282x%5E2-2x-4%29%2F%28x%2B2%29

Vertical asymptote for x=-2 and slant asymptote y=2x-2, based on polynomial division. You can check for roots, for x^2-x-2=(x+1)(x-2). The roots are x=-1 and x=2. That might be enough to pick the correct graph of your choices.

graph%28300%2C300%2C-6%2C6%2C-6%2C6%2C%284x%5E2-4x-8%29%2F%282x%2B2%29%29
Yes, this can appear to be the same as a line, but you must understand there IS an undefined point for the function which may not show on this graph here; it is a hole.