To find the domain, identify all x-values that the function can accept
Exclude x-values that make the denominator zero
Exclude x-values that make an even root negative inside the radical
Exclude x-values that make a logarithm zero or negative
Include all remaining x-values
To find the range, identify all possible y-values the function can produce
Rewrite the function if needed to solve for y
Check the graph for the lowest and highest y-values
Exclude y-values that are not possible from the function
Include all remaining y-values