Question

use the graph of the function to answer the question.
is this function one - to - one? explain how you determined your answer.
(4 points)

Explanation:

A function is one-to-one if no horizontal line intersects its graph more than once (Horizontal Line Test). For this graph, every horizontal line will cross the graph at most once, as all the y-values (6, 3, 3, 1) are only repeated once, and the line segments between points do not overlap horizontally.

Answer:

Yes, this function is one-to-one. It passes the Horizontal Line Test: no horizontal line intersects the graph more than once, meaning each y-value corresponds to exactly one x-value.