Create equations in two or more variables, graph them, and interpret relationships with labels and scales.
Separate algebraic and contextual domain and range restrictions
Problem
For \(y~=~120/x\), where \(x\) is speed and \(y\) is travel time for a fixed positive distance, state the algebraic domain and range, the contextual domain and range, and the meaning of the boundary \(x~=~0\).
Big Picture
What this problem is really about
Keep algebraic restrictions separate from contextual ones. The reciprocal formula first excludes values that make division impossible and outputs the formula can never reach; only afterward does the travel setting retain the branch with meaningful speed and time. Finally, interpret the excluded boundary by following what happens to time as positive speed moves toward it.
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.
