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The function graphed above is:

Increasing on the interval(s)


Decreasing on the interval(s)

The function graphed above is: Increasing on the interval(s) Decreasing on the interval-example-1
User Lawliet
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1 Answer

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Answers in bold

  • Increasing on the interval (-2.5, 0)
  • Decreasing on the interval (-∞, -2.5) U (0, ∞)

Each answer is in interval notation.

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Step-by-step explanation:

The graph is increasing when the curve goes uphill when moving to the right.

This occurs on the interval -2.5 < x < 0 which condenses to the interval notation (-2.5, 0); be sure not to mix this up with ordered pair notation which unfortunately looks identical.

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The graph is decreasing when the curve goes downhill when moving to the right.

This happens on two separate intervals of -∞ < x < -2.5 and 0 < x < ∞ which condense to the interval notation (-∞, -2.5) and (0, ∞) respectively.

Joining those two intervals up with the union symbol gets us

(-∞, -2.5) U (0, ∞)

User Nomistake
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