Question

Which statements correctly describe the graph of the function f(x) = x3 – 2x2 - 19x + 20? Select three options.

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

Answer 1

See below for answers and explanations (along with a graph for reference)

Explanation:

A is true because the end behavior shows that as x gets larger, y also gets larger

B isn't true because that is an incorrect interpretation of the end behavior while the statement itself is true.

Any real value of x can be defined on the graph with an output, therefore C is also correct.

D is not true because that would contradict option C which we said was right since the domain and range are both all real numbers.

E is true because the y-intercept of the graph is (0,20) which is positive (marked in purple)

Answer 2

B. As x approaches negative infinity, y approaches negative infinity.

C. The domain of the function is all real numbers.

E. The graph has a positive y-intercept.

Explanation:

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