Find the Domain w=p(v(1-v*2))

Problem

w=p*(v*(1−v2))

Solution

1. Identify the type of function provided. The expression w=p*(v*(1−v2)) is a polynomial function in terms of the variable v

2. Expand the expression to see the polynomial structure more clearly.

w=p*(v−v3)

w=p*v−p*v3

3. Determine the restrictions for the domain. Polynomials are defined for all real numbers because there are no denominators that could be zero, no square roots of negative numbers, and no logarithms of non-positive numbers.

4. State the domain in interval notation. Since there are no restrictions on the input variable v the domain consists of all real numbers.

Final Answer

Domain:(−∞,∞)

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