Posted by Miley on .
I know how to graph polynomial functions, but i'm having a hard time getting the second point on this one.
f(x)=x(x1)(x+2)(x+2).
I graphed my zeros and made the right arrow go up and the left arrow go down. I plotted my first point by pluggin in 1. My first point is (1,2). On my answer sheet there is a point at (1,1.5). How do i know that i need to solve for another point? And how to i get the point (1, 1.5)?

Alg. 2 
Damon,
highest x power is x^4, even, always + so
as x gets big , f gets big +
as x gets big +, f gets big +
so I do not understand your little arrow on the left.
Now as far as I know, f(x) is 0 at x = 1, so there is no point at (1,1.5)
however guessing what might be intended if x = 1.5, f(1.5) =
(1.5)(2.5)(.5)(.5)
= .9375
oh well, I do not know why you see that point in the answer. 
Alg. 2 
Miley,
there is a point and actually the point is (.5,1.5). Would that make more sense? Thanks for your help

Alg. 2 
Damon,
well, try that point
f(.5) = .5*.5*2.5*2.5 = 1.56
so I get
(.5, 1.56)