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Sketch one continuous function that satisfies all of the following conditions. Read carefully - some are limits of the derivative, not the function. Where is non-differentiable?

Clues 1 and 4 refer to the end behavior of . Notice that there approaches in one direction, but approaches a horizontal asymptote in the other.

Clues 2 and 3 refer the slopes before and after . Notice that these limits describes the derivative, , not the actual function that you are graphing. Also notice that the limit from the left does not agree with the limit from the right, so is NOT differentiable at .