Use a graphing calculator to graph f(x)=(2x^2-8)/(x^2-6) and then select the response which is true

a) f increases without bound
b) f has no tangent line
c) f has a horizontal tangent line
d) none of these responses

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  1. as x becomes very large , the -8 and -6 become inconsequential

    the function approaches 2

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  2. of course, as x -> ±√6 f increases and decreases without bound, but that's probably not what you are looking for.

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