4
practice testMultiple Choice

Practice Test

Question 4 • Algebra 2 with Probability

Which statement best describes g of x is equal to cube root of x plus 6 minus 8 and the parent function f of x is equal to cube root of x ?

Answer
A
The ranges of g of x and f of x are the same, and their domains are also the same.
B
The domains of g of x and f of x are the not the same, and their ranges are also not the same.
C
The ranges of g of x and f of x are the same, but their domains are not the same.
D
The domains of g of x and f of x are the same, but their ranges are not the same.

Explanation

The parent function f(x) = ∛x has domain and range of all real numbers. Adding or subtracting constants shifts a cube-root graph but does not restrict its inputs or outputs, so g(x) also has domain and range of all real numbers. Thus, both their domains and their ranges are the same.

AI-written and checked against the verified answer.

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