CPM Homework Help : APCALC Problem 2-88

Given $f ( x ) = \left\{ \begin{array} { c l } { x ^ { 2 } } & { \text { for } x < 1 , \text { but } x \neq - 1 } \\ { 3 } & { \text { for } x = 1 } \\ { 2 x - 1 } & { \text { for } 1 < x < 3 } \\ { 4 } & { \text { for } x \geq 3 } \end{array} \right.$

Sketch $y = f (x)$ .
For what values of $x$ is $f$ not continuous?

Hint:

The Three Conditions of Continuity

$1. \lim \limits_{x \rightarrow a} f(x) \text{ exists} \\ 2. f(a) \text{ exists}\\ 3. \lim \limits_{x \rightarrow a} f(x) =f(a)$

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