To determine the domain and range of a function, you need to know what the function is. Let me explain the general approach for each:

Domain:

• The domain of a function consists of all possible input values (x-values) for which the function is defined.
• To find the domain, consider any restrictions, such as:
  • Dividing by zero (denominators cannot be zero).
  • Taking the square root of a negative number (if dealing with real numbers).
  • Logarithms must have positive arguments.

Range:

• The range of a function consists of all possible output values (y-values) that result from the input values in the domain.
• To find the range, you need to think about what y-values the function can output based on the possible x-values in the domain.

If you provide a specific function, I can help you find its domain and range step-by-step.

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Here are five follow-up questions:

1. Do you have a specific function you want to analyze for domain and range?
2. Would you like a detailed explanation on how to handle functions with square roots?
3. Do you need help understanding how logarithms affect the domain of a function?
4. Are you interested in how trigonometric functions impact domain and range?
5. Would you like me to explain domain and range for piecewise functions?

Tip: Always start by identifying restrictions on the domain when determining the range of a function!