Polynomial Functions and Theorems — Test

Question 11 • Algebra 2 with Probability

Which best describes the end behavior of y is equal to negative 2 x cubed ?

Answer

As x is greater than 0 increases, f of x decreases. As x is less than 0 decreases, f of x decreases.

As x is greater than 0 increases, f of x increases. As x is less than 0 decreases, f of x increases.

As x is greater than 0 increases, f of x decreases. As x is less than 0 decreases, f of x increases.

As x is greater than 0 increases, f of x increases. As x is less than 0 decreases, f of x decreases.

Explanation

For y = −2x³, when x becomes large and positive, x³ is positive and grows, so −2x³ decreases toward negative infinity. When x becomes more negative, x³ becomes more negative, and multiplying by −2 makes y grow toward positive infinity. Therefore, the graph decreases to the right and increases to the left, as choice C states.

AI-written and checked against the verified answer.

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