### Home > CALC > Chapter 3 > Lesson 3.3.4 > Problem 3-137

3-137.

For the absolute value function shown below, something interesting happens to the tangent of the function at

*x*= 2*.*Can you draw more than one tangent at*x*= 2? Do you think this function has any valid tangents at*x*= 2 ? Homework Help ✎

Consider the slope as *x*→2^{−} and then consider the slope as *x*→2^{+}.

From the left, the slope appears to be −1.

From the right, what does the slope appear to be?