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Determine the intervals on which the function is increasing, decreasing, and constant

Determine the intervals on which the function is increasing, decreasing, and constant-example-1
User TehDorf
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Answer:

  • increasing: (-1, ∞)
  • decreasing: (-∞, -1)
  • constant: nowhere

Explanation:

A function is increasing when it is rising to the right. Here, that is everywhere right of x=-1.

A function is decreasing when it is falling to the right. Here, that is everywhere left of x=-1.

A function is constant when its graph is horizontal. There are no places on this graph like that.

User Nefzen
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