In mathematics, convex and concave functions describe how curves behave in terms of their curvature. A convex function curves upwards, meaning that a straight line between any two points on the graph will lie above or on the graph. A concave function curves downwards, meaning that the line segment between any two points lies below or on the graph. Knowing the difference between concave vs. convex is important. Never stumble again by learning these basic differences between the two words. CONCAVE definition: 1. curving in: 2. curving in: 3. curved inward: . Learn more. A convex mirror forms a diminished image, but a concave mirror, depending on the object's position, either forms an enlarged or diminished image. This is the