Q1b. Determine if the relation shown in the mapping diagram is a function.

Background

Topic: Functions and Relations

This question tests your understanding of the definition of a function. A function is a relation in which each input (element from the domain) is paired with exactly one output (element from the range).

Key Terms:

• Relation: A set of ordered pairs or a mapping between two sets.

• Function: A relation where each input has exactly one output.

• Domain: The set of all possible inputs (x-values).

• Range: The set of all possible outputs (y-values).

Step-by-Step Guidance

1. Examine the mapping diagram. Identify the elements in the domain (left oval) and the range (right oval).

2. For each element in the domain (x-values), trace the arrows to see how many outputs (y-values) each input is paired with.

3. Recall that for the relation to be a function, each input must be paired with only one output. If any input is paired with more than one output, the relation is not a function.

4. Check each input in the diagram and note if any input has more than one arrow going to different outputs.

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