Problem preview
F-BF.1.a Warmup M1-015-A12-V01

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

Build a function with a restricted domain

Problem

Tickets cost \(\$6~\text{each}\), and a customer can buy at most \(10~\text{tickets}\). State the restricted domain for \(n\), the number of tickets.

Big Picture

What this problem is really about

A contextual domain records every restriction on the input, not just numerical bounds. We’ll use the fact that tickets are counted objects to determine the allowed number type, set the nonnegative lower bound, and translate the phrase limiting the purchase into an inclusive upper bound. Listing a few boundary values confirms that no fractional, negative, or oversized inputs remain.

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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
Build a function with a restricted domain