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.

Question

anonymous · Answer

@phi can you help please

kohai · Answer

Ah, alright.

If you have a function, you find the x-intercepts by factoring the function and then solving for x. For example,
$$c(x)=x^2-4$$
$$c(x)=(x+2)(x-2)$$
$$x=2, -2$$

anonymous · Answer

ok

kohai · Answer

To graph it, all you have to do is plug some x-values into the equation. 

$$c(x)=x^2-4$$
$$c(1)=1^2-4$$

$$c(x)=x^2-4$$
$$c(2)=2^2-4$$

And you can plug a few more in and solve, and then graph the values you get.

kohai · Answer

Does that make sense?

anonymous · Answer

a little

anonymous · Answer

Did you use an example that couldnt be used for this problem?

anonymous · Answer

because I got a little lost during the first part

kohai · Answer

No, no it could be used. It was just an example. Here's another one, if you wish.

$$c(x)=x^2+5x+6$$
$$c(x)=(x+2)(x+3)$$

anonymous · Answer

Oh alright! I didnt see the part where you said to plug it in haha thanks!

kohai · Answer

You're very welcome :)