Problem preview

F-IF.5 Warmup M1-023-A06-V03

Relate a function's domain to its graph and to the real-world quantities it describes.

Interpret domain endpoints in context

Problem

Use the number line to state the domain, explain the treatment of both endpoints and the discrete inputs, and interpret the domain in context.

Actual number line for theater seat-number domain from 1 to 120, with closed lower and closed upper endpoint and integer-only marks.

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domain = n∈ℤ | 1<n<120; endpoints excluded

domain = n∈ℤ | 1≤n≤120=1,2,…,120; endpoints = 1 and 120 included; discreteness = integers only, no values between seats; context = every numbered seat from 1 through 120

domain = (-∞,1]∪[120,∞); seats outside the theater

domain = [1,120]; discreteness = all real numbers between seats

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Curriculum context

Course: Math I
Standard: F-IF.5
Category: Functions
Domain: Interpreting Functions
Objective: Relate a function's domain to its graph and to the real-world quantities it describes.
Problem type: Interpret domain endpoints in context