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On what intervals is the function decreasing? Indicate intervals on the x-axis using the Ray tool for intervals that extend to infinity and the Segment tool for bounded intervals. Graph a ray by selecting the endpoint followed by a point on the ray. Graph a segment by selecting an endpoint followed by the other endpoint.

On what intervals is the function decreasing Indicate intervals on the xaxis using the Ray tool for intervals that extend to infinity and the Segment tool for b class=

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Answer:

( -6,-2 ) and ( 3,7 )

Step-by-step explanation:

We are given the graph of function which is increasing in some parts and decreasing in other.

Now in x < -6, the function is increasing to reach the point ( -6,5 ).

Also, in interval ( -6,-2 ) the function is decreasing to reach the point ( -2,-7 ).

Further, in interval ( -2,3 ) the function is increasing to reach the point ( 3,6 ).

Then, in interval ( 3,7 ) the function is decreasing to reach the point ( 7,-5 ).

Finally, in x > 7, the function is increasing to infinity.

Hence, we see that the intervals where the function is decreasing are ( -6,-2 ) and ( 3,7 ).

Further, the ray AB and the line segment AC plotted in the graph can be seen in the figure below.

Ver imagen wagonbelleville

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