The problem is about graphing polynomials. In order to graph
polynomials, they first have to factor the equation, then they equal it to zero
so you get your x-intercepts; because you have your x-intercept, you see what
the multiplicities are so that determines what kind of line will go through the
point.. To get your y-intercept, you plug in zero to the original equation and
the number you get, you plug it in to the y value and you get your y-intercept.
In order to get your end behavior, you have to see what kind of graph it is by
the first number of the original equation; meaning if it's positive or negative
and if the exponent is odd or even.
The viewers need to pay special attention to the multiplicities
and the End Behavior in order to understand. The End Behavior determines what
kind of graph it is, and the multiplicities determines what kind of line goes
through the point. If the multiplicity is one then it goes thru, if two it
bounces, and if it's three it curves to the point. The most important thing is
to go through the points, if a point isn't there, then you can't go through
another point.
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