Question

Which statements correctly describe the graph of the function f(x) = x3 – 2x2 – 19x + 20? Check all that apply.

1.As the x-values increase, the y-values always increase.
2.As x approaches negative infinity, y approaches negative infinity.
3.The domain of the function is all real numbers.
4.The range of the function is y 20.
5.The graph has a positive y-intercept.

Answer 1

B,C,D

Explanation:

Answer 2

The graph of the function:
f(x)=x3 – 2x2 – 19x + 20 is as shown in the figure below:
The domain are all real numbers
The range are all real numbers
Thus the statements that hold are:
2.As x approaches negative infinity, y approaches negative infinity.
3.The domain of the function is all real numbers.
5.The graph has a positive y-intercept.