Problem preview
F-IF.4 Warmup M1-022-A09-V01

Interpret and sketch key graph/table features in context: intercepts, intervals, maxima/minima, symmetry, end behavior, and periodicity.

Recognize periodic behavior from repeated values

Problem

Use the representation to determine whether it is periodic and, if it is, state the least positive period.

Big Picture

What this problem is really about

Periodicity means an entire output pattern returns after a fixed input shift. We’ll read the values in input order, compare matching blocks, and test whether the same shift preserves every displayed value. Then we’ll rule out shorter positive shifts, because a few repeated entries alone do not establish the least period.

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Four variants of this problem type
Curriculum context
Course
Math I
Standard
F-IF.4
Category
Functions
Domain
Interpreting Functions
Objective
Interpret and sketch key graph/table features in context: intercepts, intervals, maxima/minima, symmetry, end behavior, and periodicity.
Problem type
Recognize periodic behavior from repeated values