1. The problem is to find the domain and range of a function. 2. The domain of a function is the set of all possible input values (x-values) for which the function is defined. 3. The range of a function is the set of all possible output values (y-values) that the function can produce. 4. To find the domain, identify any restrictions such as division by zero or square roots of negative numbers. 5. To find the range, analyze the behavior of the function or use algebraic methods to find possible y-values. Since no specific function was given, here is a general example: Example: Find the domain and range of $$f(x) = \sqrt{x-2}$$. 6. Domain: The expression under the square root must be non-negative: $$x - 2 \geq 0$$ $$x \geq 2$$ So, the domain is $$[2, \infty)$$. 7. Range: Since the square root function outputs only non-negative values, $$f(x) \geq 0$$ So, the range is $$[0, \infty)$$. This method applies to any function by analyzing its formula and restrictions.