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?