Problem preview

F-IF.3 Warmup M1-021-A11-V04

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

Detect an invalid sequence-function representation

Problem

A proposed sequence graph contains \((1,~6),~(2,~9),~(3,~12),~(3,~15),~\text{and}~(4,~18)\). Identify the error and a witness, state the function verdict, and give a correction.

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error type = connected discrete points; witness = points have consecutive inputs; verdict = not a function; correction = connect them

error type = repeated output; witness = outputs 12 and 15 differ; verdict = function; correction = none

error type = no error; witness = all plotted points differ; verdict = function; correction = none

error type = repeated input; witness = input 3 has outputs 12 and 15; verdict = not a function; correction = remove either (3,12) or (3,15) so input 3 has only one output

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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: Detect an invalid sequence-function representation