Problem 106 of 7
Find the range of f(x)=x^2-4x+3 over the contextual domain 0 <= x <= 5.
Hints
Using a hint is okay. It just tells the trainer to give you a little more review.
Hidden until you reveal it.
determine possible outputs over valid inputs.
Hidden until you reveal it.
Function behavior over domain must be simple enough to determine range exactly.
Enter your answer
No answer yet
Correct
Your answer is equivalent to the expected form.
Solution
Walkthrough
Walkthrough shown
Full solution stays hidden until you ask for it.
1. Evaluate outputs at relevant domain endpoints and extrema.
2. Use the context domain only.
3. State all possible output values.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Range over all real inputs when contextual domain is restricted.