4
QuizMultiple Choice

Modeling with Functions — Quiz

Question 4 • Advanced Financial Algebra

Which statement is true about all cubic functions?

Answer
A
The domain is restricted by the sign of the coefficient A.
B
There is at least one x-intercept.
C
The end behavior of the function is determined by the sign of the constant c.
D
The range is restricted to positive real numbers.

Explanation

A cubic function has odd degree, so its two ends go in opposite directions: one tends to positive infinity and the other to negative infinity. Since the function is continuous, its graph must cross the x-axis at least once, giving it an x-intercept. The domain and range are both all real numbers, and end behavior is determined by the leading coefficient, not the constant term.

AI-written and checked against the verified answer.

Previous
Next