Final answer:
The domain of a graph represents the set of all possible input values or x-values for which the function is defined. The domain can vary depending on the type of function and any restrictions or limitations.
Step-by-step explanation:
The domain of a graph represents the set of all possible input values or x-values for which the function is defined. To find the domain of a graph, we need to identify any restrictions or limitations on the x-values.
Here are some common examples:
- If the graph represents a polynomial function, the domain is typically all real numbers because there are no restrictions on the x-values.
- If the graph represents a rational function, such as f(x) = 1/x, we need to exclude any x-values that would result in division by zero. In this case, the domain would be all real numbers except x = 0.
- If the graph represents a square root function, such as f(x) = √x, we need to exclude any x-values that would result in taking the square root of a negative number. In this case, the domain would be all real numbers greater than or equal to zero.
By analyzing the characteristics and behavior of the graph, we can determine the domain. It's important to carefully consider any restrictions or limitations and state the domain as explicitly as possible.