Which of the following intervals is the range of the function f(x)=−(x−3)2+4f(x)=-(x-3)^2+4f(x)=−(x−3)2+4 ?
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, (3,4)(3,\boxed{4})(3,4).
Use a calculator to graph the function and inspect the range.