Question

Which statement best describes the function below?

f(x)= x3 - X2-9x+9
O A. It is not a function.
OB. It fails the vertical line test.
O C. It is a one-to-one function.
O D. It is a many-to-one function.

pls help!!

Answer 1

• D. It is a many-to-one function

Explanation:

• One-to-one if every y value has exactly one x value mapped onto it
• Many-to-one if there are y values that have more than one x value mapped onto them.

We have a function that is of degree 3, so it has 3 x-intercepts which means there are points (x₁, 0), (x₂, 0), (x₃, 0), so it is a many-to-one function

Correct option is D