Relate a function's domain to its equation, graph, and context, especially when model choice matters.
Choose the sensible domain of an exponential model from the context
Problem
What domain makes sense for the exponential model \(P(t)=1200(1.03)^t\) for years after \(2026\)?
Big Picture
What this problem is really about
Separate what the exponential formula permits from what the input quantity means. The algebra can accept real exponents, but elapsed time is measured from the stated starting date, so locate the input representing that date and decide which side of it the story covers. Then ask whether fractional time is sensible before imposing an unnecessary whole-number restriction.
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.
