1 Answer

Extremeboredom · Answer 1 · 2023-06-13T04:34:41+0000

We are given a graph and asked to find the domain and the range of the graph in compound inequality form.

Domain:

The domain of a function is all the possible input (x) values for which the function is defined.

As you can see, the function is defined for x is equal to or greater than 2 and equal to or less than -4

So, the domain of the function is

$2\le x\le-4$

Range:

The range of a function is all the possible output (y) values corresponding to the input (x) values.

As you can see, the range of the function is y is equal to or greater than -4 and equal to or less than 5

$-4\le y\le5$

Therefore, the domain and range of the given function in the compound inequality form is

$\begin{gathered} domain\colon2\le x\le-4 \\ range\colon-4\le y\le5 \end{gathered}$

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