Question

Which statement best describes the function below?. . f(x)=2x^3+2x^2-x. . A. It is not a function.. B. It is a many-to-one function.. C. It is a one-to-one function.. D.It fails the vertical line test..

Answer 1

The given function is f(x)=2x^3+2x^2-x. In this case, the highest degree among the terms is 3. According to the Fundamental Theorem of Algebra, the number of zeros or roots of the equation is equal to the highest degree among the terms. Hence for every value of y, there are 3 equivalent x's. The answer thus is B. It is a many-to-one function