Question

How do you find the domain of a function?

A) Evaluate the limit
B) Solve for x
C) Check for vertical asymptotes
D) Determine the range

Answer 1

To find the domain of a function, you need to evaluate the limit, solve for x, check for vertical asymptotes, and determine the range.

Step-by-step explanation:

The domain of a function refers to the set of all possible input values (or x-values) for which the function is defined. To find the domain of a function, you need to consider any restrictions on the function that would make certain input values invalid. Here are the steps to find the domain:

1. Evaluate the limit: Determine if there are any values of x for which the function approaches infinity or is undefined.
2. Solve for x: Consider any algebraic equations involving x that might restrict its values. Solve these equations to find the valid range of x.
3. Check for vertical asymptotes: Look for any values of x that would cause a vertical asymptote in the function. Exclude these values from the domain.
4. Determine the range: The range refers to the set of all possible output values (or y-values) of the function. It is not directly related to finding the domain of a function, but it is an important concept to understand.