Answers

1. The correct option is the third one.

   y = -√(x – 5) + 3

   Which function has a domain of x>5 and a range of y≤3?

   Remember that a square root can only be evaluated in values equal or larger than zero.

   So, if we want the domain to be x > 5, then we must have:

   √(x – 5)

   Now we also want the range to be equal or smaller than 3, then we should have a constant term equal to 3, and a negative coefficient before the square root, then we get:

   y = -√(x – 5) + 3

   So the correct option is the third one.

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