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. (1 point) 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 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.

Explanation:

A one-to-one function is defined by the Horizontal Line Test: no horizontal line intersects the graph more than once. Observing the given graph, every horizontal line will cross the curve at most one time, so it satisfies the test for a one-to-one function.

Answer:

This is a one-to-one function because there is no horizontal line that would intersect the graph of the function more than once.