Problem 56 of 7
Determine the contextual domain of polynomial model h(t)=-16t^2+64t+5 for height after launch.
Using a hint is okay. It just tells the trainer to give you a little more review.
Hidden until you reveal it.
apply physical/input constraints despite all-real algebraic domain.
Hidden until you reveal it.
Apply physical or input constraints despite all-real algebraic polynomial domain.
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Your answer is equivalent to the expected form.
Walkthrough
Full solution stays hidden until you ask for it.
1. Recognize that the polynomial formula alone accepts all real inputs.
2. List context constraints on length, time, count, or price.
3. Combine constraints into the usable domain.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Answering all real numbers when the context restricts inputs.