Answer:
[tex][2, 12][/tex]
Step-by-step explanation:
The given function is
[tex]y=-2x+10[/tex]
Which domain is defined as [tex][-1, 4][/tex].
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 [tex]x=-1[/tex], we have
[tex]y=-2(-1)+10\\y=2+10=12[/tex]
For [tex]x=4[/tex], we have
[tex]y=-2(4)+10\\y=-8+10\\y=2[/tex]
Therefore, the range is [tex][2, 12][/tex]
