Question

if the linear function y=-2x+10 has a domain given by [-1, 4] then which of the following is its range?

Answer 1

(-1،12 )
(4،2 )This is the range for each of them

Answer 2

`[2, 12]`

Explanation:

The given function is

`y=-2x+10`

Which domain is defined as
`[-1, 4]`.

To find the corresponding range to this domain, we just have to replace the limits of the domain, and the result will be the limits of the range.

For
`x=-1`, we have

`y=-2(-1)+10\\y=2+10=12`

For
`x=4`, we have

`y=-2(4)+10\\y=-8+10\\y=2`

Therefore, the range is
`[2, 12]`