Determine the interval(s) for which the function is continuous.
$f\left(x\right)=x^2+4x-12$

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 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.

$f(x)=\frac{sinx}{(2+cosx)}$

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

Suppose f(x) = {x^2 − 5x + 6 / x − 3 if x≠3

a if x=3.

Determine a value of the constant a for which lim x→3 f(x) = f(3).

Which of the following functions are continuous for all values in their domain? Justify your answers.

a. a(t)=altitude of a skydiver t seconds after jumping from a plane