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What is the maximum value of the functio...


What is the maximum value of the functions graphed on the coordinate plane above, over the interval `-8lexle8`?

A

`4`

B

`6`

C

`8`

D

`infty`(infinity)

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Verified by Experts

The correct Answer is:
B
Difficult:Medium
Category: Passport to Advanced Math/ Functions
Strategic Advice: The maximum value of a function that is graphed over a interval is the highest y-value of all the points on the graph in that interval. Be careful, it's easy to mistake a relative maximum (a hump in the graph) for the actual maximum over the entire interval.
Getting to the Answer: For the graph shown, the maximum occurs at the left endpoint is 6, so (B) is correct. Note that if the domains (x-values) had not been restricted to -8 to 8, and the graph had continued indefinitely upward on the left side, then there would be no maximum value (i.e., the maximum would be `infty`).
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