The change in water vapor in a cloud is modeled by a polynomial function, C(x). Describe how to find the x-intercepts of C(x) and how to construct a rough graph of C(x) so that the meteorologist can predict when there will be no change in the water vapor. You may create a sample polynomial to be used in your explanations. @ganeshie8

Question

anonymous · Answer

To find the x-intercept of C(x), we start by setting the equation ( C(x) ) to be equal to zero and then we solve for x. This can also be applied to any polynomial to find the x-intercept.    This is what I have so far. I don't get the how to construct a rough graph part

ganeshie8 · Answer

Thats a very good start!

anonymous · Answer

Thank you!! ;v; I just don't know how to finish it off haha @ganeshie8

ganeshie8 · Answer

Next, cookup an example polynomial like :  C(x) = x^3-x

anonymous · Answer

I can use that one right? @ganeshie8

ganeshie8 · Answer

set that equal to 0 and solve for x intercepts

ganeshie8 · Answer

yes

ganeshie8 · Answer

x^3 - x = 0

can you solve x ?

anonymous · Answer

x= $$\sqrt[3]{x}$$ ? @ganeshie8

ganeshie8 · Answer

not exactly 

x^3 - x = 0

factor x

x(x^2-1) = 0

ganeshie8 · Answer

x = 0 or x^2 - 1 = 0

x^2 - 1 = 0
x^2 = 1
x = 1, -1

anonymous · Answer

ohhh well aren't I dumb/// sorry!! so x would be -1 and 1 !! AAA YES

ganeshie8 · Answer

You may continue your previous work like below :

To find the x-intercept of C(x), we start by setting the equation ( C(x) ) to be equal to zero and then we solve for x. This can also be applied to any polynomial to find the x-intercept.  For example C(x) = x^3-x. Setting this equal to 0 and solving gives the x intercepts x=0,-1,1. So the graph cuts the x axis at x=0,-1,1.

A rough graph can be sketched by using x intercepts and the end bahavior. The degree of C(x) is odd and the leading coefficient is positive so the graph goes DOWN and UP on ends.

anonymous · Answer

so then with that I what is the second step?? @ganeshie8

anonymous · Answer

you are the best person ever omg thaNK YOU SO MUCH AAAAAA @ganeshie8 One more question and you won't hear from me again!! I'll tag you in the next one if that's okay with you?

ganeshie8 · Answer

I'll try.. .yw :)