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 to be used in your explanations.

Question

Mathematics

Moochie

18 July, 15:19

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 to be used in your explanations.

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Answers (1)

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Casey Freeman · Answer 1

The polynomial y (water level)

= (x-1) (x+1)

y = 0 at x = 1

x=0 y=-1 lake level drops 1 inch when no rain

x=1 y=0 1 inch of rain and water level donot change

x=2 y = 3 2 inches of rain and water level rise up 3 inch