Answer:
[tex]y_{max}=24[/tex]
Step-by-step explanation:
Given function [tex]y=-5x+4[/tex] is linear function. This linear function represents the straight line on the coordinate plane. The slope of this line is [tex]-5.[/tex] Since the slope is negative, the linear function is decreasing for all x. This means
[tex]\text{ if } x_1<x_2, \text{ then } f(x_1)> f(x_2)[/tex]
You ar geven the interval [tex]-4\le x\le 3.[/tex] So, the maximum value of the function is at the point x=-4 and the minimum value of the function is at the point x=3.
At x=-4,
[tex]y=-5\cdot (-4)+4=20+4=24.[/tex]
