Problem preview

F-IF.3 Warmup M1-021-A04-V03

Recognize sequences, including recursive sequences, as functions whose domains are subsets of integers.

Decide whether a sequence graph represents a function

Problem

Use the plot to determine whether the relation is a function and cite supporting input evidence.

Sequence graph points 1 comma 5, 3 comma 5, and 4 comma 9.

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No; the relation is not a function because input 2 is missing, so the sequence is incomplete and cannot count as a function.

No; the relation is not a function because the output 5 is used more than once, even though repeated outputs are allowed in a function.

No; the relation is not a function because the points do not follow one consistent numerical pattern, even though a function does not need one pattern to exist.

Yes; the relation is a function because inputs 1, 3, and 4 each have exactly one output, and skipping 2 does not matter.

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Curriculum context

Course: Math I
Standard: F-IF.3
Category: Functions
Domain: Interpreting Functions
Objective: Recognize sequences, including recursive sequences, as functions whose domains are subsets of integers.
Problem type: Decide whether a sequence graph represents a function