The graph of y = f (x) where f (x) = x 2 is the same as the graph of y = x 2. Writing equations as functions in the form f (x) is useful when applying translations and reflections to graphs.

Learn how to use functions to represent translations, sketches, compressions and reflections of graphs with GCSE Bitesize Maths.

Semigroups of transformations and endomorphisms have emerged as powerful algebraic frameworks to elucidate the underlying structures of graphs. By harnessing the principles of semigroup theory ...

Math 117 - Pre-Calculus for Scientists and Engineers is a four-credit course will concentrate on analyzing and exploring the basic function classes (linear, quadratic, polynomial, rational, ...

We consider a parametric family of integral equations of the first kind, which can be treated as index transformations and generalize classical Kontorovich-Lebedev transformation and related operators ...