WEBVTT
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What is the function graphed in the given figure?
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Looking at the direction of the arrows, this must be an odd function.
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And itβs decreasing left to right, so it must be negative.
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Now we also know where it crosses the π₯-axis: negative three, negative one, and three.
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Those are the factors.
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So if we take these and set them equal to zero, those will be our factors.
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So if we would add over the negative three, we would have π₯ plus three equals zero, π₯ plus one equals zero, and π₯ minus three equals zero.
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Therefore, the function that is being graphed is π¦ equals negative π₯ plus one π₯ plus three π₯ minus three.