Identify the input values allowed for the function
Check for values that make the denominator zero
Check for even roots with negative radicands
Check for logarithms with nonpositive arguments
Use the graph to find all x-values for the domain
Use the graph to find all y-values for the range
Solve inequalities if the function is given algebraically
Find restrictions from piecewise definitions
Write the domain in interval notation
Write the range in interval notation