What is the domain of a polynomial?

I don't understand this

Use the written statement to construct a polynomial function that represents the required information.A rectangle is twice as long as it is wide. Squares with sides measuring 3 feet are cut out from each corner. Then the sides are folded up to make an open box. Express the volume V of the box as a function of the width x, where V is measured in square feet. V(x) =

Discuss the domain and range of polynomial functions in general. Think about: Does the domain and/or range change depending on the type of polynomial function? Does it matter if the degree is even or odd? Does it matter if the leading coefficient is positive or negative? In your response, give examples to support your reasoning.

The x-intercepts of the graph of a polynomial function are called turning points.

The measurements of the rectangle below is shown in the diagram. Express the area of the rectangle as a polynomial in terms of H.

The number of feet that a car travels before stopping depends on the driver's reaction time and the braking distance, as shown below. For one driver, the stopping distance is given by the polynomial function f(v) = 0.03v² + 0.4V where v is the velocity of the car. Find the stopping distance when the driver is traveling at 30 mph. | ft Stopping distance d Reaction time Braking distance Decision to stop © Robert E. Daemmrich/Getty Images

A house is purchased for $109,000 and is expected to appreciate $600 per year. (a) Find a polynomial function that will give the value y of the house in x years. y = (b) Find the value of this second house after 12 years.

What is the purpose of having a polynomial function in factored form?

What determines the end behaviors of a polynomial and why? (Please explain)