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For the graph of the function y = f(x), find the absolute maximum and the absolute minimum, if it exists.

For the graph of the function y = f(x), find the absolute maximum and the absolute-example-1
User Alex Barroso
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1 Answer

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18 votes

An absolute maximum point is a point where the function obtains its greatest possible value. Similarly, an absolute minimum point is a point where the function obtains its least possible value.

From the graph provided, we can see a point on the graph that represents the lowest point. This point is at (1, 2). This point is the absolute minimum point.

The absolute maximum value cannot be determined from the graph. This is because the graph continues to increase as we move towards positive infinity, it does not stop at a particular point. Therefore, we don't have an absolute maximum value from the graph.

Therefore, the answer is: Absolute maximum: none; Absolute minimum: f(1) = 2.

The FIRST OPTION is the correct option.

User Charles Wesley
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