1. Limits and Continuity

Use graph of $f\left(x\right)$ to determine if the function is continuous or discontinuous at $x=c$

$c=0$

Use the graph of $f\left(x\right)$ to determine if the function is continuous or discontinuous at $x=c$.

$c=-2$

Use the graph of $f\left(x\right)$ to determine if the function is continuous or discontinuous at $x=c$.

$c=3$

Use the graph of $f\left(x\right)$ to determine if the function is continuous or discontinuous at $x=c$.

$c=4$

Determine the interval(s) for which the function is continuous.

$f(x)=x^2+4x-12$

Determine the value(s) of $x$ (if any) for which the function is discontinuous.

$f\left(x\right)=\frac{x-4}{x^2-x-12}$

Determine the interval(s) for which the function is continuous.

$f\left(x\right)=\frac{\sin x}{(2+\cos x)}$

Determine the value(s) of $x$ (if any) for which the function is discontinuous.

Determine the interval(s) for which the function is continuous.