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Find the absolute maximum value of the function f of x equals x squared plus 2 for x between 0 and 1 inclusive and equals negative x plus 4 for x greater than 1.

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tramserran

Answer:  3

Step-by-step explanation:

f(x) = x² + 2       0 < x ≤ 1

f(x) = -x + 4             x > 1

The maximum is the largest y-value within the intervals given above.

The maximum occurs at (1, 3) ⇒ See attached graph.

So, the maximum value (y) is 3

Ver imagen tramserran

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