CPM Homework Help : APCALC Problem 3-137

For the absolute value function shown at right, something interesting happens to the tangent line of the function at $x=2$ . Can you draw more than one tangent line at $x=2$ ? Do you think this function has any valid tangent lines at $x=2$ ?

Hint:

Consider the slope as $x \rightarrow 2^−$ and then consider the slope as $x \rightarrow 2^+$ .

Hint:

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

Hint:

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

Upward V graph, vertex at the point (2, comma 1), passing through the point (4 comma 3).