Question

Help me find the domain and range please!

Answer 1

Domain: (-∞, 1]

Range: (-∞, 3]

Explanation:

The function starts at point (1, 3) and goes to the left and down forever.

Domain: (-∞, 1]

Range: (-∞, 3]

Answer 2

Domain:
`(-\infty, 1]`

Range:
`(-\infty, 3]`

Explanation:

The domain of a function represents the range of x-values that are part of the function, read left to right. We can see that the function goes forever to the left and stops at
`x=1` when we read left to right. Therefore, the domain of this function is
`\boxed{(-\infty, 1]}`.

The point at
`x=1` is a filled-in solid dot so it is included as part of the function. Use square brackets to denote inclusive.

The range of a function represents all y-values that are part of the function, read bottom to top. The function continues down forever and stops at
`y=3` when read bottom to top. Therefore, the range of this function is
`\boxed{(-\infty, 3]}`. Similar to the domain, we use a square bracket on the right to indicate that
`y=3` is included in the function. If the dot was not filled-in, then we would use a parenthesis to indicate that
`y=3` would not be part of the function.