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1. consider the graph below. 1a does the function have an absolute maxi…

Question

  1. consider the graph below. 1a does the function have an absolute maximum or minimum? select all that apply. a yes, it has an absolute maximum. b no, it does not have either. c yes, it has an absolute minimum.

Explanation:

Step1: Analyze the behavior of the function as \(x\to\pm\infty\)

As \(x\to-\infty\), \(y\to-\infty\). As \(x\to+\infty\), \(y\to+\infty\).

Step2: Check for absolute maximum and minimum

Since \(y\to-\infty\) as \(x\to-\infty\), there is no absolute minimum. Since \(y\to+\infty\) as \(x\to+\infty\), there is no absolute maximum.

Answer:

B. No, it does not have either.