What does it mean for a function to have an absolute extreme value at a point c of an interval [a, b]

Hello from MrBillDoesMath!

 Suppose the function is f(x). The statement means that either:

1)    f(c) >= f(x) for x in the interval [a,b]

or

2)    f(c) <= f(x) for x in the interval [a,b]

That is, the value of f(c) is larger (or smaller, take your choice) than the value of f(x) for all other x in the interval. Equivalently,  f(c) is the largest (or smallest) value of f(x) in the interval.

Regards, MrB

step-by-step explanation:

ok one would be money, and the other would be refreshments or something similar. if each bag of popcorn is 5.00 and each drink is half of that that means drinks are 2.50 the proper way to do that would to look and see how much of each you can buy without exceeding a limit of 30.00