Answer true or false. A graphing utility can be used to show f(x) = |x⁶| has a relative maximum.

Name: Answer true or false. A graphing utility can be used to show f(x) = |x 6 | has a relative maximum.
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Question

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The function f(x) = |x| does not have a relative maximum because it continuously increases as x moves away from 0 in the positive direction and has a sharp corner at x = 0, which is considered a point of absolute minimum, not a maximum.

Answer True or False