Question

the set notation is already given for the domain and range. what is the domain and range for both, inequality notation and interval notation?

Answer 1

The given sets are

`\begin{gathered} Domain=\lbrace x:x\in R,0\leq x\rbrace \\ \\ Range=\lbrace y:y\in R,0\leq y\leq3\rbrace \end{gathered}`

To write them in the inequality form we just write the last part

`\begin{gathered} Domain:x\ge0 \\ \\ Range:0\leq y\leq3 \end{gathered}`

For the interval form, we will use { ] with the inequality sign that has = with it and we will use ( ) with the inequality sign without =

`\begin{gathered} Domain=[0,\infty) \\ \\ Range=[0,3] \end{gathered}`