To identify the domain of the graph of the function y = x² + 6x + 13, we need to determine the set of all possible values of x for which this function is defined.
The expression x² + 6x + 13 is a quadratic function, which is defined for all real numbers. This means there are no restrictions on x, such as division by zero or square roots of negative numbers that would limit the domain.
As a result, the domain of the graph of y = x² + 6x + 13 includes all real numbers. We can express this in interval notation as:
Domain: (-∞, ∞)
This means that for any real number value of x, you can substitute it into the function and obtain a valid output for y.