Determine if the graph of has a maximum or a minimum, and find this point
The function has , and . Since in the expression, you know that the graph is smiling and you have a minimum.
First, find the -value, and then the -value, of this minimum:
The minimum is then
Upon inspection of , you can see that this is a square and therefore has only one zero. In this case, the zero and the minimum are the same point.