Graph with Local and Global Extrema

A visual representation of an oscillating function, depicted by a bold red curve against a dark background. The curve clearly showcases multiple turning points, indicating both local maxima (peaks) and local minima (valleys). Blue lines are strategically placed, appearing to point towards or highlight several of these significant points on the curve, illustrating where the function reaches its relative highest and lowest values within different intervals. This image serves as a straightforward example for understanding local extrema in a graphical context.

graph - function - extrema - calculus - local maxima - local minima - curve