Consider the linear function f(x) = mx + b, where m = 0, on the interval [3, 7). Explain
why the maximum value of the function over this interval must occur at one
of the endpoints of the interval.

Assuming that m does not = 0, then the function has a non horizontal slope, so the value will increase as the position moves away from zero in either the negative or positive direction depending on whether the slope (m) is negative or positive. The furthest that the position can be from 0 is at one of the endpoints of the interval [3, 7), therefore, the maximum value of the function on the same interval must be at one of the endpoints.

mx+89b(-98)nb

step-by-step explanation: