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realneggalloyd
19.06.2020 •
Mathematics
What does the graph of y=(x + 2)(x + 1)(x - 3)2 do near the point (3,0)?
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Ответ:
Check out the graph below. We see that (3,0) is a root or x intercept. More specifically, the graph only touches the x axis at this point, rather than cross over (in contrast to a root like (-2,0) ). We say that the root here is of multiplicity 2. The multiplicity is due to the exponent of 2 over the (x-3) factor.
You can also say that the graph is decreasing on the left side of (3,0) and then it bounces off the root x = 3 to increase afterward. In this region, the graph never goes below the x axis.
Ответ:
![given \\ 13x + 9 = 6x - 12 \\ = 13x - 6x = - 12 - 9 \\ = 7x = - 21 \\ = x = \frac{ - 21}{7} \\ = x = - 3](/tpl/images/0980/0035/b34fd.png)
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