Completion requirements

This figure shows an unlabelled set of Cartesian axes concentrated in the upper-right and upper-left quadrants. There is an arbitrary point in the upper-left quadrant labelled gamma of a equals alpha and another arbitrary point in the upper-right quadrant labelled gamma of b equals beta. A path joins the two points and is marked with an arrow in a direction from point alpha to beta and labelled capital gamma. The curve starts at alpha then drops to a local minimum in the upper-left quadrant, it continues a local maximum in the upper-right quadrant then drops to point beta.