anonymous
  • anonymous
The change in water level of a lake is modeled by a polynomial function, W(x). Describe how to find the x-intercepts of W(x) and how to construct a rough graph of W(x) so that the Parks Department can predict when there will be no change in the water level. You may create a sample polynomial of degree 3 or higher to use in your explanations.
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
chestercat
  • chestercat
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
DanJS
  • DanJS
W(x) is some function that tells you the change in the height x in water height, per time unit , say days.
DanJS
  • DanJS
W(x) = 0, means no change in water height
anonymous
  • anonymous
So how do you find the x-intercepts of W(x) and how to construct a rough graph of W(x) so that the Parks Department can predict when there will be no change in the water level. @DanJS im not good at math at all so if you dont mind please break it down for me.

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

DanJS
  • DanJS
polynomial degree 3, highest power on x w(x) = a*x^3 + b*x^2 + c*x +d a,b,c and d are coefficients, and d is the value initially when the graph starts at x=0
DanJS
  • DanJS
i guess make the coefficients whatever you want
anonymous
  • anonymous
so after i choose numbers for them just solve it? @DanJS
DanJS
  • DanJS
yeah, the x-intercepts are when it crosses the xaxis, and y=0 solve for the times x when that happens w(x) = 0 to graph , you can use those x-intercepts and pick a point or 2 in between them too, pick x value solve for w(x)
DanJS
  • DanJS
yaeh let a=1, b=0, c=1, d=0 that should make it easy to solve with those
DanJS
  • DanJS
i meant c = -1, not 1 w(x) = x^3 - x =x*(x^2-1) =x* (x+1)*(x-1)
anonymous
  • anonymous
I got x^3-x @DanJS
DanJS
  • DanJS
w(x) = 0 when x= 0 or x=1 or x=-1 it says to just describe how to make the graph you can plot those 3 x-intercept points maybe pick some values for x in between those points and figure w(x), x=-2, x=-1/2, x=1/2 , x = 2
anonymous
  • anonymous
okay.

Looking for something else?

Not the answer you are looking for? Search for more explanations.