Question

The values on both axes range from negative 10 to 10 in increments of 1. The curve passes through the following: left parenthesis negative 6 comma negative 8 right parenthesis, left parenthesis 0 comma negative 5 right parenthesis, left parenthesis 1 comma negative 4 right parenthesis, left parenthesis 2 comma negative 1 right parenthesis, left parenthesis 2 comma 0 right parenthesis, left parenthesis 2 comma 1 right parenthesis, left parenthesis 3 comma 4 right parenthesis, left parenthesis 7 comma 7 right parenthesis, and left parenthesis 10 comma 8.5 right parenthesis. All values are approximate.


Select the description that corresponds to the graphed function.

(1 point)
Responses

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

Answer 1

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

Reason: The graph includes x = -6 (so domain is not just non‑negative) and y values both negative and positive (so range is not just non‑negative), so both domain and range include negative and positive numbers — i.e., all real numbers.