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