Question

Use the image to answer the question.

A curve labeled y equals 4 root index 3 start root x minus 2 end root is plotted on a coordinate plane. The curve begins in quadrant 3 sloping upward from left to right, briefly passes through quadrant 4, and rises through quadrant 1.
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Select the description that corresponds to the graphed function.

(1 point)

The domain and range of the function are both the set of all real numbers.

The domain of the function is the set of all non-negative real numbers and the range is the set of all real numbers.

The domain and range of the function are both the set of all non-negative real numbers.

The domain of the function is the set of all real numbers and the range is the set of all non-negative real numbers.

Answer 1

The first description. For y = 4∛(x − 2), ∛(x − 2) is defined for all real x and takes all real values, and multiplying by 4 or shifting right by 2 does not change that. So domain = range = all real numbers.