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)
Responses

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

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

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

Answer 1

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

Reason: The cube root is defined for every real x, and 4·(cube root) can produce every real y (vertical stretch doesn't restrict outputs).