This is from a review section, and I am wondering whether there is a typo in the original problem itself or if I have forgotten something critical. Here is the problem:
"Find the point(s) on the graph of such that the tangent line at that point passes through the point (0,-9)."
Just thinking about the graph of , it would seem impossible for there to be a tangent which passes throught (0,-9). But just for good measure, I did the math:
Sure enough, there appears to be no real answer. Am I making a mistake, or is this a question without an answer?
Thanks for the reinforcement, redsoxfan325. I guess I will just submit the problem as I have it worked up here. There is the possibility that the problem was purposefully designed to have no answer, but I think that it is more likely that the function and the point were supposed to have opposite signs.