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

Consider the slope as and then consider the slope as .

From the left, the slope appears to be .

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

Graph of y = absolute value of x shifted so that the vertex is at (2,1)