Over which interval does f(x) have a negative average rate of change?

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I'm an adult learner of maths (self-studying). I've been struggling with this question and would like some help. I've been given 4 different x,y coordinates (indicated as stars on the image below) and have been asked to identify which out of those 4 coordinates signifies a negative average rate of change. Something very easy for most of you I'm sure. It doesn't make sense to me how a set of x,y coordinates constitute an interval? Any help, links to learning resources would be much appreciated.

Which set of x,y coordinates is correct and why?

Image of Function with x,y coordinates

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1 Answer

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The four choices, $(-9,-8), (-9,-3)$ and so on, are not $(x,y)$ coordinates, but open intervals $(x_1,x_2)$ on the $x$-axis. Perhaps you are used to the notation $]x_1,x_2[$ for an open interval, but it means the same thing.

Does that help?

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