13
QuizMultiple Choice

Cubic and Cube Root Functions and Equations — Test

Question 13 • Algebra II

Which statement is true of the function f of x is equal to negative cube root of x ? Choose three correct answers.

Answer
A
The function has a domain of all real numbers.
B
The function has a range of start set y such that negative infinity is less than y comma y is less than infinity end set .
C
The function is always increasing.
D
The function passes through the point 3 comma negative 27 .
E
The function is a reflection of y is equal to cube root of x .

Explanation

The function f(x) = −∛x is the cube-root function reflected across the x-axis, so statement A is true. Cube roots are defined for every real x and can produce every real value; multiplying by −1 does not change that, so the domain and range are both all real numbers, making B and C true. The function is decreasing, not increasing, and f(3) = −∛3, not −27.

AI-written and checked against the verified answer.

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