Problem preview

F-IF.1 Warmup M1-019-A09-V04

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 car model to each individual factory paint color available for that model, and one model may have several colors. 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 car model and the output is one set of all available colors.

This is a function with paint color as input and every available model as output.

This is not a function: the input is car model, the output is one available paint color, and one model may map to several colors.

This is not a function because different models may share one color.

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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