ap-calculus-ab None Q3

ap-calculus-ab · Usa · -bc_sample-questions Curve Sketching Continuity and Differentiability of Special Functions

The graph of the piecewise-defined function $f$ is shown in the figure above. The graph has a vertical tangent line at $x = - 2$ and horizontal tangent lines at $x = - 3$ and $x = - 1$. What are all values of $x , - 4 < x < 3$, at which $f$ is continuous but not differentiable?
(A) $x = 1$
(B) $x = - 2$ and $x = 0$
(C) $x = - 2$ and $x = 1$
(D) $x = 0$ and $x = 1$

The graph of the piecewise-defined function $f$ is shown in the figure above. The graph has a vertical tangent line at $x = - 2$ and horizontal tangent lines at $x = - 3$ and $x = - 1$. What are all values of $x , - 4 < x < 3$, at which $f$ is continuous but not differentiable?\\
(A) $x = 1$\\
(B) $x = - 2$ and $x = 0$\\
(C) $x = - 2$ and $x = 1$\\
(D) $x = 0$ and $x = 1$

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