Question

Can someone please help me with this? I tried asking for help before but my internet crashed.

Answer 1

The domain of a function is the complete set of possible values of the independent variable.

The domain of a function always lies on the x-axis

Hence for the graph given, the domain is

`\begin{gathered} \lbrack-2,3)\text{ in interval notation } \\ \text{and } \\ -2\leq x<3\text{ in inequality } \end{gathered}`

Therefore, the domain is

[-2,3) for interval notation and -2<=x<3 for inequality

The Range

The range is the set of possible output values, which are shown on the y-axis.

Hence the range lies on the y-axis.

Hence for the Range of the graph given is

[tex]\begin{gathered} (-5,4\rbrack\text{ in interval notation } \\ \text{and } \\ -5Therefore, the Range is

(-5,4] in interval notation and -5