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Darina [25.2K]
3 years ago
7

Drag each interval to a box to show if the function shown is increasing, decreasing, or neither over that interval.

Mathematics
1 answer:
ad-work [718]3 years ago
4 0

Answer:

First, we need to know when the function is increasing, and when is decreasing.

When a function is increasing, it's because to higher <em>x-values </em>belong higher <em>y-values. </em>On the other hand, a function is decreasing when to higher <em>x-values </em>belong lower <em>y-values. </em>The effect in the graph will be a upwards direction of the function when is increasing, and a downwards direction when is decreasing.

So, according to the given graph, we see that between 0 and 4 is increasing, the higher x-values are, higher y-values are. Between 4 and 6 is decreasing, is downwards. Between 6 and 8 is increasing. Between 8 and 10 is decreasing. In finally, between 10 and 14 is neither decreasing or increasing, it remains horizontal.

All these interpretations we can expressed using math language, specifically inequalities:

  • 0 < x < 4: increasing.
  • 4 < x < 6: decreasing.
  • 6 < x < 8: increasing.
  • 8 < x < 10: decreasing.
  • 10 < x < 14: neither increasing or decreasing.

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