Chapter 5.2, Problem 62E

If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local extremum offon (a,c) ?

Determine if the statemment is true or false. If the statement is false, then correct it and make it true. If the function f increases on the interval -,x1 and decreases on the interval x1,, then fx1 is a local minimum value.

(b) Let f(x) = ax? + Bx + y be a function defined on the closed interval [a, b], where a, B, y, a and b are real constants. Is the Mean-Value Theorem applies for the function f (x) on [a, b]? If yes, then find the value(s) of the constant(s) C. %3D