Algebra-1

To determine the domain and range of the quadratic function g(x) = x² + 5x + 6, we need to consider the possible values that x can take and the corresponding values of y.

Domain refers to the set of all possible input values for the function, which, in this case, is x. Since this is a quadratic function, there are no restrictions on the values of x, and thus the domain is all real numbers. Therefore, the correct option for the domain is A: Domain: All real numbers.

Range refers to the set of all possible output values for the function, which is y. In this case, the function is a quadratic with a positive leading coefficient, which means it opens upward. As a result, the range is all real numbers greater than or equal to the minimum y-value attained by the function.
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