Problem preview

F-IF.1 Warmup M1-019-A09-V03

Understand functions as mappings from inputs to exactly one output; connect f(x) to graph y=f(x).

Decide whether a real-world mapping can be modeled as a function

Problem

A current school record maps each unique student ID to the one student name stored for that ID. Determine whether the relation is a function, identify the input and output roles, and cite supporting evidence.

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This is not a function because names can change over a lifetime.

This is not a function because two students can share a name.

This is a function with student name as input and every ID with that name as output.

This is a function: the input is student ID, the output is stored student name, and each unique ID has one stored name.

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Curriculum context

Course: Math I
Standard: F-IF.1
Category: Functions
Domain: Interpreting Functions
Objective: Understand functions as mappings from inputs to exactly one output; connect f(x) to graph y=f(x).
Problem type: Decide whether a real-world mapping can be modeled as a function