In this video, we provide essential "math help" by explaining how to "graph" functions, beginning with a basic cosine wave and then moving on to a piecewise function. This "math tutorial" demonstrates ...

👉 Learn how to graph piecewise functions. A piecewise function is a function that has more than one sub-function for different sub-intervals (sub-domains) of the function's domain. To graph a ...

A function is a way of describing what happens to an input variable, in order to get the output result. \(\text{Input} \rightarrow \text{FUNCTION} \rightarrow \text{Output}\) If we think of a simple ...

A translation is a shift of the graph either horizontally parallel to the \(x\)-axis or vertically parallel to the \(y\)-axis. If \(f(x) = x^2\), then \(f(x) + a = x^2 + a\). The value of \(a\) ...

The universality phenomenon reveals that certain complex functions arising in number theory—most notably the Riemann zeta‐function and a broad class of L‐functions—are astonishingly rich in analytic ...

The first handheld graphing calculator, the Casio fx-7000G, appeared in 1985. Since then, graphing calculators have become a common – and controversial – tool for learning mathematics. These devices ...

If you are interested in the real-world applications of numbers, discrete mathematics may be the concentration for you. Because discrete mathematics is the language of computing, it complements the ...