Problem preview

F-IF.9 Warmup M1-027-A08-V04

Compare two functions represented in different ways: equations, graphs, tables, or verbal descriptions.

Distinguish linear and exponential tables

Problem

Use the \(\text{two}\) displayed output tables for consecutive integer inputs. Classify each table as linear or exponential and give the constant-difference or constant-ratio evidence.

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Table A is exponential with constant ratio 2; Table B is linear with constant difference -3.

Both tables are linear because the outputs decrease each time.

Table A is linear with constant difference -8; Table B is exponential with constant ratio 0.75.

Table A is exponential with constant ratio 0.5; Table B is linear with constant difference -3.

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Curriculum context

Course: Math I
Standard: F-IF.9
Category: Functions
Domain: Interpreting Functions
Objective: Compare two functions represented in different ways: equations, graphs, tables, or verbal descriptions.
Problem type: Distinguish linear and exponential tables