Find the maximum value of y=-x+4 over the interval -4< x < 3.

Since we have the function y = - x + 4
Since x is multiplied by -1, then, when x = - 4, the y will have the maximum value
[tex]\begin{gathered} y=\text{ - }(\text{ - }4)+4 \\ y=4+4\text{ = 8} \end{gathered}[/tex]