Problem preview
F-BF.1.a Warmup M1-015-A10-V01

Build a function from context by determining an explicit formula, recursive rule, or calculation process.

Define a function from an ordered calculation process

Problem

Start with input \(x\), multiply by \(3\), then add \(7\). Write the function rule for this process.

Big Picture

What this problem is really about

An ordered calculation process becomes a function by tracking the intermediate result after each instruction. We’ll begin with the input, apply the multiplication first, and then add to that completed product. A sample input can be run through both the verbal process and the symbolic rule to catch reversed operations or incorrect grouping.

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Four variants of this problem type
Curriculum context
Course
Math I
Standard
F-BF.1.a
Category
Functions
Domain
Building Functions
Objective
Build a function from context by determining an explicit formula, recursive rule, or calculation process.
Problem type
Define a function from an ordered calculation process