Continuity - Video Tutorials & Practice Problems

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

$c=0$

• A. Continuous
• B. Discontinuous

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

$c=-2$

• A. Continuous
• B. Discontinuous

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

$c=3$

• A. Continuous
• B. Discontinuous

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

$c=4$

• A. Continuous
• B. Discontinuous

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

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

• A. $x=-4,x=3$
• B. $x=4,x=-3$
• C. $x=4$
• D. Function is continuous everywhere.

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

• A. $x=4,x=5$
• B. $x=5,x=1$
• C. $x=-1$
• D. Function is continuous everywhere