Question

Write inequalities that represent the domain and range of the part shown​

Answer 1

`x\ge-4` and
`y\le6`

Explanation:

The domain is essentially an interval of x-values that the function contains.

The range is very similar, except it's an interval of y-values that the function outputs.

So in this function we see that it has x-values from -4 to infinity, and it's a closed circle meaning that this value is included in the domain. The x-values are greater than four in the graph shown as the values are going to the right. This means the domain can be represented as:
`x\ge-4`

In the function the y-values start at 6 and from there go down, and since it's an open circle this y-value of 6 is included, thus the range can be represented as:
`y\le6`