Problem preview
F-IF.5 Warmup M2-019-A02-V04

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

Determine the meaningful domain of a quadratic projectile model

Problem

Determine the launch-to-ground domain for \(h(t)=-16t^{2}+24t+40~\text{feet}\). Set the height to zero, reduce and factor the equation, list \(\text{both}~\text{roots}\), apply \(t\ge~0\), and report the interval including launch and landing.

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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 meaningful domain of a quadratic projectile model