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

Answer:

$[2, 12]$

Step-by-step 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 $[2, 12]$