Relate the domain of a quadratic function to its graph and situation.
Write the domain of a real-world quadratic input from a verbal description using inequalities or interval notation
Problem
Write the domain for elapsed time \(t\) from launch at \(0~\text{seconds}\) through landing at \(6~\text{seconds}\). Explain why \(\text{both}~\text{endpoints}\) are included, give the compound inequality and interval notation, and represent it on the number-line scaffold.
A time domain comes from the full stretch of the event, not just from the formula that models it. We’ll identify the first and last allowed times, use the wording to decide whether each boundary belongs, and translate that same set into inequality, interval, and number-line forms.
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