Problem preview
F-LE.2 Warmup M1-031-A12-V01

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

Construct a function when x = 0 is not shown

Problem

Use the displayed table, whose \(x~=~0\) row is not shown, to construct the function.

Big Picture

What this problem is really about

A missing zero-input row hides the intercept, but it does not prevent us from recovering it. We’ll use multiple intervals to confirm a constant output change per input unit, then substitute one displayed pair into the linear form to solve for the unseen starting value. Reproducing the remaining rows will check both the rate and intercept.

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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 a function when x = 0 is not shown