Algebra-1

To determine the domain and range of the quadratic function p(x) = 8x² - 16x + 4, 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.

To find the range, we need to consider the shape of the quadratic function and the y-values it can attain.

Since the coefficient of x² is positive (8), the parabola opens upward. This means that the vertex of the parabola represents ...