Give the domain and range of the quadratic function whose graph is described. Maximum \( =-4 \) at \( \mathrm{x}=2 \) The domain of the function is \( (-\infty, \infty) \). (Type your answer in interval notation.) The range of the function is \( (-4, \infty) \). (Type your answer in interval notation.)

The maximum point at \((2, -4)\) tells you that the parabola opens downward since it has a maximum value. As such, the function reaches its highest value at \(-4\) and trends towards negative infinity as \(x\) moves away from \(2\). Therefore, the domain is all real numbers, which is expressed as \((-\infty, \infty)\). When it comes to the range, since the maximum value is \(-4\) and the parabola extends downwards, the graph covers all values less than or equal to \(-4\). Hence, the range in interval notation is \((-\infty, -4]\).