### Home > APCALC > Chapter 11 > Lesson 11.1.2 > Problem11-24

11-24.

Multiple Choice: The function $f(x) =|x ^ { 2 / 3 } - 1|+2$ in non-differentiable at $x =$ : .

1. $-1$

1. $0$

1. $1$

1. $-1, 1$

1. $-1, 0, 1$

To solve this algebraically, rewrite the function as a piecewise-defined function with three pieces.
Then take the derivative of each piece.
Decide whether or not the derivatives agree at the "breaking points".

Otherwise, look at the graph.