Question

What are the domain and range of this function?​

Answer 1

• Domain:
  `-5\leq x<1`

• Range:
  `-4\leq y<7`

Explanation:

Domain

The graph shows the points in which the domain is located. To find the Domain, go to the point in the x-axis (the horizontal line) and note the number where the point lies. For this question, the Domain lies in -5 and 1. Once you've found that, it's time to write it down. To do that you'll need to write the number at the most left before the one at the right. So it should be -5 less than/equal to X. Now since the point at the right is an "open-circle", x is less than the number at the most right. Not the same as a closed circle. So at the end of the process, you should have gotten -5 less than/equal to X less than 1 =
`-5\leq x<1`.

Range

The graph shows the points in which the range is located. To find the Range, go to the point in the y-axis (the vertical line) and note the number where the point lies. For this question, the Range lies in -4 and 7. Once you've found that, it's time to write it down. To do that you'll need to write the number at the most left before the one at the right. So it should be -4 less than/equal to X. Now since the point at the right is an "open-circle", x is less than the number at the most right. Not the same as a closed circle. So at the end of the process, you should have gotten -4 less than/equal to X less than 7 =
`-4\leq y<7`.