Problem preview

F-IF.3 Warmup M1-021-A11-V03

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

Detect an invalid sequence-function representation

Problem

Use the graph to identify the sequence-representation error, explain its effect on the domain, and state a correction.

Sequence graph showing points 1 comma 5, 2 comma 8, and 3 comma 11 connected by a solid line.

Answer choices

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error type = repeated input; domain effect = each segment gives two outputs per integer; correction = remove points

error type = connected discrete points; domain effect = segments add noninteger inputs between term numbers; correction = erase the segments and show only the sequence points

error type = no error; domain effect = segments only improve readability; correction = none

error type = swapped coordinates; domain effect = axes are reversed; correction = reflect across y=x

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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