AP Calculus AB / Differentiation: Definition and Basic Derivative Rules / Question No. 22

22. $f$ is continuous for $a \leq x \leq b$ but not differentiable for some $c$ such that $a < c < b$ . Which of the following could be true?

x = c

is a vertical asymptote of the graph of

f

lim_{x \to c} f (x) \neq f (c)

The graph of

f

has a cusp at

x = c

f (c)

is undefined.

Answer is: option3

The graph of

f

has a cusp at

x = c

Solution:

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