Use the graph of $f\left(x\right)$ to determine if the function is continuous or discontinuous at $x=c$.
$c=3$

Use continuity to evaluate the limit: $\underset{x\to 1}{lim}\frac{ln(7-x^2)}{1+x}$

Use continuity to evaluate the limit: $\underset{x\to 2}{lim}3x^2-5x+4$.

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 $x=c$.

$c=4$

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

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

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