Problem preview
F-IF.5 Warmup M2-019-A05-V01

Relate the domain of a quadratic function to its graph and situation.

Determine the domain shown by a quadratic graph description

Problem

What domain is shown by this quadratic graph description: the parabola segment starts at a closed point at \(x=0\) and ends at a closed point at \(x=6\).

Big Picture

What this problem is really about

The domain of a displayed graph is its horizontal coverage, even when the underlying formula could continue farther. We’ll locate the leftmost and rightmost plotted inputs, check for gaps or continuation arrows, and translate each endpoint’s open or closed marker into interval notation.

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Four variants of this problem type
Curriculum context
Course
Math II
Standard
F-IF.5
Category
Functions
Domain
Interpreting Functions
Objective
Relate the domain of a quadratic function to its graph and situation.
Problem type
Determine the domain shown by a quadratic graph description