Question

Is f(x) = √(x-3)^2+3 a function? If so, how do I know its domain and range?

Answer 1

\[f(x) = \sqrt{(x-3)^{2}+3}\]

Answer 2

Domain is all of the x values that are valid for the given function
Range is all of the y values that are valid for the given function
Look at the graph of the function to determine these values.