Which of the following intervals is the range of the function \(f(x)=-(x-3)^2+4\) ?
Approach 1
The function is a parabola in vertex form. The leading coefficient is negative so it is a downward facing parabola. Therefore the maximum value can be found through the vertex, \((3,\boxed{4})\).
Approach 2
Use a calculator to graph the function and inspect the range.