Identify any x-values at which the absolute value function f(x) = 3|x + 3| is not continuous: x = not differentiable : x =
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determine whether or $\operatorname{not} f$ is continuous and/or differentiable at the given value of $x$. If not, determine any left or right continuity or differentiability. For the last four functions, use graphs instead of the definition of the derivative. $$ f(x)=\left\{\begin{array}{rl} x^{2}-3, & \text { if } x<3 \\ x+2, & \text { if } x \geq 3, \end{array} \quad x=3\right. $$
Derivatives
Formal Definition of the Derivative
Determine whether or $\operatorname{not} f$ is continuous and/or differentiable at the given value of $x$. If not, determine any left or right continuity or differentiability. For the last four functions, use graphs instead of the definition of the derivative. $$ f(x)=\left\{\begin{array}{cl} x^{2}-3, & \text { if } x<3 \\ x+2, & \text { if } x \geq 3 \end{array} \quad x=3\right. $$
determine whether or $\operatorname{not} f$ is continuous and/or differentiable at the given value of $x$. If not, determine any left or right continuity or differentiability. For the last four functions, use graphs instead of the definition of the derivative. $$ f(x)=x^{2 / 3}, x=0 $$
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