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.

Question

Mathematics

Leblanc

22 March, 07:43

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.

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Answers (1)

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Hans · Answer 1

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.