Changing Behavior of Open Graphs

Changing Behavior of Open Graphs

Discover what it means for intervals of a graph to be increasing, decreasing or constant.

GeoGebra Content Team

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Нээлттэй асуулт 1

What does it mean for a graph to be increasing over an interval? Decreasing? Constant?

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Нээлттэй асуулт 2

What can a graph look like when it is ONLY increasing? Decreasing? Constant?

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Нээлттэй асуулт 3

Is it possible for a graph to be both increasing and decreasing?

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Нээлттэй асуулт 4

Is it possible for a graph to be neither increasing nor decreasing?

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Нээлттэй асуулт 5

Can two intervals of a graph look different and yet both be increasing?

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Нээлттэй асуулт 6

What happens when two adjacent intervals of the graph exhibit the same behavior?

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Нээлттэй асуулт 7

Move the points so that part of the graph looks like a quadratic function. Over what intervals is it increasing, decreasing, or constant?

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Нээлттэй асуулт 8

Could the graph of an exponential function (like ) have intervals that are increasing, decreasing, or constant?

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Нээлттэй асуулт 9

How does the behavior of a quadratic function compare to the behavior of an exponential function?

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Нээлттэй асуулт 10

Can a function be increasing, decreasing or constant at a single point? Why or why not?

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