Problem preview

F-IF.1 Warmup M1-019-A09-V02

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 relation maps each person to each individual favorite movie that person lists, and a person may list several movies. Determine whether the relation is a function, identify the input and output roles, and cite supporting evidence.

Answer choices

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This is a function because the input is person and the output is one list of all favorite movies.

This is not a function because several people may list the same movie.

This is a function with movie as input and people who like it as output.

This is not a function: the input is person, the output is one listed favorite movie, and one person may map to several movies.

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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