Discontinuities are a little more challenging to identify when working with formulas than when working with graphs. One reason for the added difficulty is that when working with a function formula you have to dig into your memory bank and retrieve fundamental properties about certain types of functions.

# Subsection2.12.1Exercises

##### 1

What would cause a discontinuity on a rational function (a polynomial divided by another polynomial)?

##### 2

If $y$ is a function of $u$, defined by $y=\fe{\ln}{u}$, what is always true about the argument of the function, $u$, over intervals where the function is continuous?

##### 3

Name three values of $\theta$ where the function $\fe{\tan}{\theta}$ is discontinuous.

##### 4

What is the domain of the function $k$, where $\fe{k}{t}=\sqrt{t-4}$?

##### 5

What is the domain of the function $g$, where $\fe{g}{t}=\sqrt[3]{t-4}$?