Question 1080614: https://www.usatestprep.com/modules/gallery/files/41/4189/4189.gif
Tammy knows that the factors of a polynomial are ƒ(x) = (x - 2)(x - 1)(x + 4) and the solutions are x = -4, 1, and 2. Which graph models the polynomial?
A)
B)
C)
D)
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! your graph will cross the x-axis at x = -4, x=1, and x=2
since your function will be x^3 which will have a positive coefficient, as x goes negative, y will go more negative and as gets more positive, y will get more positive.
the controlling factor of the ends of the graph is the term with the highest order exponent, which is the x^3 term.
all the graphs exhibit that behavior, so that's not a controlling factor.
what is a controlling factor is where the graphs cross the x-axis.
the graphs have to cross the x-axis at x = -4, 1, 2.
the only graph that does that is selection D.
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