Domain and Range Worksheet 3 Solutions and Explanations

To solve these problems, first focus on identifying the set of possible inputs for each function. Consider all values for which the function is defined, excluding any restrictions such as division by zero or square roots of negative numbers. This step is crucial for determining the set of inputs that are valid.

Next, examine the outputs for each input. For many functions, outputs are determined by applying a simple rule, such as multiplying or adding constants. However, for more complex functions, the relationship between input and output may be more intricate. Ensure you understand how each function behaves to accurately identify the set of possible results.

After completing the initial assessment, check for any specific conditions that affect the outputs, such as asymptotes, discontinuities, or bounds. These factors can change how the function behaves, so taking them into account is essential for accurate calculations. Take time to analyze and double-check your work before finalizing your answers.