(a) Vertex:
(b) Max Min?
(C) AO. S.:
(d) On graph
(e) Solution(s)

yes

step-by-step explanation:

yes

ans789

step-by-step explanation:

no solution

step-by-step explanation:

there is not enough information in the problem to solve.

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.