Problem 77 of 7
Given domain 1 <= x <= 6, determine the range of quadratic model g(x)=(x-4)^2+1.
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Hidden until you reveal it.
determine output values over valid input interval.
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Range must be computed over the restricted domain, not the full parabola.
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Your answer is equivalent to the expected form.
Walkthrough
Full solution stays hidden until you ask for it.
1. Evaluate the function at domain endpoints.
2. Check whether the vertex input lies in the domain.
3. Use the smallest and largest relevant output values for the range.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Unrestricted quadratic range when the domain is restricted.