Question

Does the function f(x)=x^2-2x+2 have a maximum or minimum value?

Answer 1

minimum

Answer 2

The equation has a minimum value, because the shape of the graph is a smily face, you can tell whether or not it is a smily face or a frowny face because of the positive or negative sign out the front of the x^2, in this case, it is positive, and has a smily face symbol, and therefore there is only a minimum

Smily face=minimum
Frowny face=maximum