### Home > APCALC > Chapter 6 > Lesson 6.1.3 > Problem 6-36

6-36.

Sketch a 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*

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*

*.*