Problem preview
F-IF.5 Warmup M3-022-A06-V01

Relate a function's domain to its equation, graph, and context, especially when model choice matters.

Find the domain of a function from its graph

Problem

What is the domain of a graph with these features: open circle at \(x=-2\), hole at \(x=3\), arrows elsewhere

Big Picture

What this problem is really about

Read a graph's domain by projecting every visible point horizontally onto the input axis. Open circles and holes remove their exact inputs even when the surrounding curve continues, while arrows show that the remaining pieces extend beyond the window. List the connected input intervals separately so no missing value gets crossed.

Inside Gozunta

Turn the preview into practice.

More than a preview

Gozunta lets you study this problem—and more than 10,000 others.

Create targeted learning sessions, use hints, check your answer, read the walkthrough, watch the video, print the work, and track your progress.

Discover Gozunta Try it now
Four variants of this problem type
Curriculum context
Course
Math III
Standard
F-IF.5
Category
Functions
Domain
Interpreting Functions
Objective
Relate a function's domain to its equation, graph, and context, especially when model choice matters.
Problem type
Find the domain of a function from its graph