Question

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

Answer 1

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

the function approaches 2

Answer 2

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