Question: Suppose that h(x) is a continuous function and is defined for all x greater than or equal to 1. You are given that h(x) has
Suppose that h(x) is a continuous function and is defined for all x greater than or equal to 1. You are given that h(x) has critical points at x = 1, x = 3 and x = 5. If h'(x) is negative on the interval 1 (less than) x (less than) 3, positive on the interval 3 (less than) x (less than) 5, and positive on the interval x (greater than) 5, and positive on the interval x (greater than) 5, what can be said about the point (3, h(3))?
a. (3, h(3)) is an absolute max.
b. (3, h(3)) is absolute min.
c. (3, h(3)) is neither ab absolute max nor an absolute min.
d. Nothing can be determined about the point (3, h(3)).
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