All functions have certain properties, or distinct features, which can be very useful when trying to analyze them. The following common properties of functions describe how a graph is shaped, what happens as x-values increase, and whether the functions can be further analyzed with calculus: Domai...
Functions created in Euclidean space can be used to construct bump functions on anysmooth manifold(where support is prescribed as “equal to one region” [1]. Generalization to higher dimensions can be done with polar coordinates [4]. TheHicks-Henne bump functionis used in aerodynamics. For exa...
What are the steps to finding the formula from a cubic graph? The first step is to identify the coordinates of three points on the graph. Then, use these points to create three equations in the form of y = ax³ + bx² + cx + d. Finally, solve the system of equations to find...