Question

question 1 (1 point) classify this function this is neither an injective or a surjective function this is a surjective function this is a relation, not a function this is a injective function

Explanation:

Step1: Recall function - relation definition

A function has exactly one output for each input. A relation is a set of ordered - pairs.

Step2: Recall injective and surjective definitions

An injective function has distinct inputs mapping to distinct outputs. A surjective function has its range equal to its codomain.

Step3: Analyze the graph

For the given graph, each \(x\) - value has exactly one \(y\) - value associated with it (no vertical - line test failure), so it is a function. Also, multiple \(x\) values map to the same \(y\) value (e.g., horizontal segments), so it is not injective. And the range does not cover all possible \(y\) values in the codomain (missing many \(y\) values between the horizontal segments), so it is not surjective.

Answer:

This is neither an injective or a surjective function