Problem preview

F-IF.1 Warmup M1-019-A01-V02

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

Decide whether an ordered-pair set represents a function

Problem

For the relation \({(1,~2),~(1,~4),~(2,~6)}\), determine whether it is a function and cite supporting input-output evidence.

Answer choices

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verdict = function; evidence = outputs 2, 4, and 6 are different

verdict = function; evidence = input 1 is allowed to have two outputs

verdict = not a function; violation = output 2 maps to inputs 1 and 2

verdict = not a function; violation = input 1 maps to outputs 2 and 4

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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 an ordered-pair set represents a function