Use the graph of the function to answer the question. Choose the statement that correctly describes the graph of the function and correctly explains the reasoning. The x-axis goes from negative 10 to 10 and the y-axis goes from negative 10 to 10. From the origin, the graph curves up and to the right through point left-parenthesis 8 comma 2 right-parenthesis and continues to the right. From the origin the graph also curves down and the left through point left-parenthesis negative 8 comma negative 2 and continues left. (1 point) Responses This is a one-to-one function because there exists a horizontal line that would intersect the graph of the function more than once. This is a one-to-one function because there exists a horizontal line that would intersect the graph of the function more than once. This is a one-to-one function because there is no horizontal line that would intersect the graph of the function more than once. This is a one-to-one function because there is no horizontal line that would intersect the graph of the function more than once. This is not a one-to-one function because there exists a horizontal line that would intersect the graph of the function more than once. This is not a one-to-one function because there exists a horizontal line that would intersect the graph of the function more than once. This is not a one-to-one function because there is no horizontal line that would intersect the graph of the function more than once. This is not a one-to-one function because there is no horizontal line that would intersect the graph of the function more than once.

Question

Use the graph of the function to answer the question. Choose the statement that correctly describes the graph of the function and correctly explains the reasoning. The x-axis goes from negative 10 to 10 and the y-axis goes from negative 10 to 10. From the origin, the graph curves up and to the right through point left-parenthesis 8 comma 2 right-parenthesis and continues to the right. From the origin the graph also curves down and the left through point left-parenthesis negative 8 comma negative 2 and continues left. (1 point) Responses This is a one-to-one function because there exists a horizontal line that would intersect the graph of the function more than once. This is a one-to-one function because there exists a horizontal line that would intersect the graph of the function more than once. This is a one-to-one function because there is no horizontal line that would intersect the graph of the function more than once. This is a one-to-one function because there is no horizontal line that would intersect the graph of the function more than once. This is not a one-to-one function because there exists a horizontal line that would intersect the graph of the function more than once. This is not a one-to-one function because there exists a horizontal line that would intersect the graph of the function more than once. This is not a one-to-one function because there is no horizontal line that would intersect the graph of the function more than once. This is not a one-to-one function because there is no horizontal line that would intersect the graph of the function more than once.

Answer 1

This is not a one-to-one function because there exists a horizontal line that would intersect the graph of the function more than once.

Answer 2

This is not a one-to-one function because there exists a horizontal line that would intersect the graph of the function more than once.

Answer 3

The correct statement is: "This is not a one-to-one function because there exists a horizontal line that would intersect the graph of the function more than once."

To determine if a function is one-to-one, we need to check if there is a horizontal line that intersects the graph more than once. From the description, we can visualize that the graph curves up and to the right through point (8, 2) and continues to the right, and also curves down and to the left through point (-8, -2) and continues to the left.

Since there are two different points on the graph that have the same y-coordinate (2), we can draw a horizontal line at y=2 that intersects the graph at two different points. This means that the function is not one-to-one.

Therefore, the correct statement is: "This is not a one-to-one function because there exists a horizontal line that would intersect the graph of the function more than once."