Question

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 of degree 3 or higher to use in your explanations. PLEASE HELP

Answer 1

Let the model for the change in water vapor be
y=x3−8x2+15xto find the x intercepts we can factor this expression
x3−8x2+15x=x(x−3)(x−5)
the x intercepts are 0, 3, 5