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I’m confused with this question

I’m confused with this question-example-1
User IsADon
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Answer:

(a) max: None; min: -5

(b) max: 5; min: None

Explanation:

a) The upward pointing arrow on the end of the graphed curve tells you that the graph extends upward indefinitely. There is no absolute maximum value.

The solid dot at (-4, -5) is the lowest point on the graph. That tells you the absolute minimum is -5.

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b) The solid dot at (-4, 5) is the highest point on the graph. That tells you the absolute maximum is 5.

The open dot at (3, -5) is the lowest point on the graph. This means values of the function can be arbitrarily close to -5, but -5 is not one of them. There is no absolute minimum value.

User Graham Ambrose
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