Problem preview
F-LE.2 Warmup M1-031-A05-V01

Construct linear and exponential functions, including arithmetic/geometric sequences, from graphs, descriptions, or input-output pairs.

Construct an exponential function from input-output pairs

Problem

Use the displayed input-output pairs to construct the exponential function.

Big Picture

What this problem is really about

An exponential table is organized by an initial output and a multiplier repeated across equal input intervals. We’ll read the output at zero for the coefficient and compare every consecutive output ratio for a stable base, rather than relying on changing differences. Recreating each table row from the resulting structure will provide a direct consistency check.

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Four variants of this problem type
Curriculum context
Course
Math I
Standard
F-LE.2
Category
Functions
Domain
Linear, Quadratic, and Exponential Models
Objective
Construct linear and exponential functions, including arithmetic/geometric sequences, from graphs, descriptions, or input-output pairs.
Problem type
Construct an exponential function from input-output pairs