Question

Find the domain and range of the graph and the open and close interval

Answer 1

`\begin{gathered} D=(-\infty,\infty) \\ R=(-\infty,4\rbrack \\ \\ \text{decreasing:}\cdot(-4,\infty) \\ \text{increasing:}(-\infty,-4) \end{gathered}`

Explanation:

The domain is the input values of a function, in this case it would be the range of values that x can take. The range is the output values of a function, so in this case it is the interval of values that it can take.

Therefore, the domain and range would be:

`\begin{gathered} D=(-\infty,\infty) \\ R=(-\infty,4\rbrack \end{gathered}`

In this case, the graph is decreasing from -4 to infinity and increasing from negative infinity to -4.

In interval form it would be:

`\begin{gathered} \text{decreasing:}\cdot(-4,\infty) \\ \text{increasing:}(-\infty,-4) \end{gathered}`