Absolute Extrema On A Closed Interval

Question

The function $$h(x) = x^3 - 6x^2 + 4x + 10$$ is defined on the interval $[0, 5]$. The values of $$h$$ at the endpoints and critical points are approximately $$h(0) = 10$$, $$h(0.367) \approx 10.707$$, $$h(3.633) \approx -6.71$$, and $$h(5) = 5$$. Which of the following lists these function values in increasing order?

Accepted Answer

-6.71, 5, 10, 10.707

Answer

5, -6.71, 10.707, 10

Answer

Evaluating h(x) gives h(0)=10, h(0.367)≈10.707, h(3.633)≈-6.71, and h(5)=5; thus, in increasing order: -6.71, 5, 10, 10.707.

Answer

10.707, 10, -6.71, 5

Absolute Extrema On A Closed Interval

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