Transformations of Functions: 1.3: An applet illustrating how transformations affect the graph of a function. Transformations are represented both algebraically and graphically. Differential Calculus: ...

Visualizing Functions as Graphs. In the applet below is intended to help you understand the connection between the graph of a function and the function itself. Recall that a function can be thought of ...

Combinatorics & Graph Theory Faculty Mathematics Education Faculty Part-time Faculty ... Western Michigan University Kalamazoo MI 49008-5248 USA (269) 387-4510. Calculus II Basic Skills Exam . ...

In the local area (-6 < x < 6) shown at left, the graphs of y = x² + 5 and y = x² are clearly different. But zooming out (at right), the graphs of the two functions are basically identical.

In the late 19th century, Karl Weierstrass invented a fractal-like function that was decried as nothing less than a “deplorable evil.” In time, it would transform the foundations of mathematics.