Examples of Curve Sketching

Curve sketching is a fundamental aspect of mathematical analysis, allowing us to visualize the behavior and characteristics of functions. Through careful examination of key features such as intercepts, asymptotes, critical points, and concavity, curve sketching provides valuable insights into the overall shape and behavior of a given function. By employing techniques such as finding derivatives, identifying intervals of increase or decrease, and analyzing inflection points, mathematicians and students alike can construct accurate and informative sketches of various functions. In this exploration, we will delve into examples of curve sketching to illuminate the intricate process of visualizing mathematical functions.