Question

Which statement best describes the function below?

f(x)=2x^2-3x+1

A.It is a one-to-one function.
B.It fails the vertical line function.
C.It is a many-to-one function.
D.It is not a function.

Answer 1

it is a parabola, there are two x values (symmetrical across the line x=-b/2a)for the same y value, so it is a many-to-one function. 

Answer 2

f(x)=2x^2-3x+1

the graph of the function is attached with the answer

As we can see that equation is quadratic and its graph is a parabola facing upward.

As we can see it passes the Vertical line test

As it passes the Vertical line test , So it is a function

And two values of x has one value of y

So it is a many to one function.