Use the graph of the derivative of f to locate the critical points x0 at which f has neither a local maximum nor a local minimum?
answer choices:
1. x0 = a , b
2. x0 = c , a
3. x0 = a , b , c
4. x0 = a
5. none of a , b , c
6. x0 = b
7. x0 = b , c
8. x0 = c

Critical points are where the derivative is 0, i.e. where it crosses the x - axis

The Critical points lies where the derivative is 0, while it crosses the x-axis, SO, in this case the choice 3 looks like best answer for this.

Idon't see any graph, however the graph of the function : f(x) = x²-2x+3 is a parabola: 1) open upward (since a> 0)2) it intersects y-axis in 3 (y=3)3) its axis of symmetry is x = +1 ( -b/2a)4) it's minimum is y = -2, so its vertex is (1,-2)5) it doesn't intersect the x-axis since discriminant < 0 

The answer is $23.63