A mathematical function is a formula that takes an input, x, applies a set of calculations to it, and produces an output called y. By calculating a function at a large number of set intervals, it is ...

In this video, we provide essential "math help" by explaining how to "graph" functions, beginning with a basic cosine wave ...

👉 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 ...

In my last few articles, I looked at several different Python modules that are useful for doing computations. But, what tools are available to help you analyze the results from those computations?

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 \(a\) ...

Many of my previous articles have looked at software packages that do scientific calculations and generate scientific results. But, columns of numbers are nearly impossible to make sense of—at least, ...

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 ...