Problem 66 of 7
Identify domain and range of root function y=-sqrt(x-3)+4.
Using a hint is okay. It just tells the trainer to give you a little more review.
Hidden until you reveal it.
read endpoint/extent behavior.
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Function must be square-root or cube-root with transformations.
Enter your answer
Your answer is equivalent to the expected form.
Walkthrough
Full solution stays hidden until you ask for it.
1. For square roots, require the radicand to be nonnegative and track vertical direction.
2. For cube roots, note all real inputs and outputs unless context restricts them.
3. State domain and range.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Imposing square-root domain restrictions on cube-root functions.