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Indentify the minimum for the function graphed below

Indentify the minimum for the function graphed below-example-1
User Veridiana
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Final answer:

Since the described function graph is a horizontal line within the domain 0 ≤ x ≤ 20, the entire line represents both the minimum and maximum values. If the function was not intended to be horizontal, the minimum would be located by finding the lowest y-coordinate on the graph.

Step-by-step explanation:

Identifying the minimum for a function from a graph involves locating the lowest point on the graph within the specified domain. In the context of the question provided, where f(x) is described as a horizontal line, and given the domain of 0 ≤ x ≤ 20, we can deduce that there is no fluctuation in the value of f(x) within the given interval. Since a horizontal line has the same value for all x within a specified domain, there is no unique minimum value; instead, every point on the graph would be considered both a minimum and maximum.

If however, there was a typo and the function was not meant to be a horizontal line, the process to locate the minimum would involve examining the graph for the lowest y-coordinate value within the specified domain. For example, if the graph represented an exponential decay with f(x) decreasing as x increases, and then leveling off, the minimum would be found at the right end of the domain (x = 20). In such cases, we would also confirm the graph's descending nature and label the intercepts and the minimum point accordingly.

User Scott Heath
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