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 \([2, 12]\)
