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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 fails the vertical line test
D. It is a one-to-one function

Respuesta :

JoshEast
Based on the graph I attached, the best answer is OPTION B. 

It is a function because it passes the vertical line test (which means the answer cant be A or C) and it fails the horizontal line test which means it is NOT one-to-one but instead many-to-one
Ver imagen JoshEast

The statement that best describes the given function is f(x) = 2x³ + 2x² - x is; B. It is a many-to-one function

How to describe a function?

The given function is f(x) = 2x³ + 2x² - x.

Now, In the given function, we can see that the highest degree among the terms is 3.

Now, 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.

Thus, for every value of y, there are 3 equivalent x's. The answer thus is Option B which says It is a many-to-one function

Read more about Describing Functions at; https://brainly.com/question/1415456

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