5
QuizMultiple Choice

The Cube Root Function — Quiz

Question 5 • Algebra 2 with Probability

Which cube root function is always decreasing as x increases?

Answer
A
f of x is equal to cube root of x minus 8
B
f of x is equal to negative cube root of x plus 5
C
f of x is equal to cube root of negative open paren 5 minus x close paren
D
f of x is equal to cube root of x minus 5

Explanation

The cube root function, ∛x, increases as x increases. In choice A, it is multiplied by −1, so its values move in the opposite direction: −∛x + 5 always decreases as x increases. Choices B and C are shifts of ∛x, and choice D simplifies to ∛(x − 5); these all remain increasing.

AI-written and checked against the verified answer.

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