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20Examine the graph.15Select all intervals where the graph is decreasing.1050-1 < x < 02-5O 2

20Examine the graph.15Select all intervals where the graph is decreasing.1050-1 &lt-example-1

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SOLUTION

Given the graph in the image, the following are the solution steps to get the intervals where the graph is decreasing

Step 1: Define the decreasing interval of a graph

The graph of a function y = f(x) in an interval is decreasing (or falling) if all of its tangents have negative slopes. That is, it is decreasing if as x increases, y decreases.

Step 2: Pick the intervals where the graph is decreasing

It can be seen from the graph

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