Question

Can someone help me state domain and range

Answer 1

The domain and range is (as inequalities):

`x\leq 3\text{ and } -\infty < y < \infty`

Or in interval notation:

`D=(-\infty, 3]\text{ and } R=(-\infty, \infty)`

Explanation:

Recall that the domain is simply the set of all x-values of the function.

From the graph, we can see that the function is defined for all x-values less than or equal to 3.

Therefore, the domain is:

`x\leq 3`

The range is the set of all y-values of the function.

From the graph, we can see that the range will extend infinitely in both directions.

Therefore, the range is all real numbers. As an inequality:

`-\infty < y < \infty`

Or in interval notation, the domain is:

`(-\infty, 3]`

And the range is:

`(-\infty, \infty)`