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Given the graph of the function f(x) below, what is the absolute maximum value of f(x)?

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Final answer:

The absolute maximum value of the function is determined by the shape of its graph: if it is a horizontal line at f(x) = 20, then the absolute maximum is 20; if it's a declining curve starting at f(x) = 0.25 when x = 0, then the absolute maximum is 0.25, known as m.

Step-by-step explanation:

The question pertains to finding the absolute maximum value of the function f(x) based on its graph within the domain 0 ≤ x ≤ 20.If the graph of f(x) is a horizontal line at f(x) = 20, then the absolute maximum is simply f(x) = 20 as the function does not attain any higher value within the given domain.

However, if the function represents a declining curve, the absolute maximum would be at the point where x = 0, which is given as f(x) = 0.25.

This value, f(x) = 0.25, is referred to as m, and it is the highest point on the y-axis for this curve.

Given the graph of the function f(x) below, what is the absolute maximum value of-example-1
User Kim Gentes
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