Find the Absolute Extreme Values of the Function on the Interval

question 156

Multiple Choice

Find the absolute extreme values of the function on the interval.
- $$f ( x ) = x ^ { 4 / 3 } , - 1 \leq x \leq 8$$

• A) absolute maximum is 16 at \(x = 8\); absolute minimum is 1 at \(x = - 1\)
• B) absolute maximum is 64 at \(x = 8\); absolute minimum is 0 at \(x = 0\)
• C) absolute maximum is 16 at \(x = 8\); absolute minimum does not exist
• D) absolute maximum is 16 at \(x = 8\); absolute minimum is 0 at \(x = 0\)

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Definitions:

Dismantling Strategy

An approach in research or therapy that involves breaking down a complex intervention into its components to understand its effectiveness.

Additive Strategy

In problem-solving, an approach where solutions are built by sequentially adding components that contribute toward a solution.

Moderation Design

A research approach that examines whether the relationship between two variables changes across levels of a third variable.

Relative Effectiveness

A comparison measure of the impact of different interventions or treatments, assessing which is more effective under certain conditions.