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 ...

Description: 👉 Learn how to graph exponential functions. An exponential function is a function that increases rapidly as the ...

👉 Learn how to determine the extrema, the intervals of increasing/decreasing, and the concavity of a function from its graph ...

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 \(a\) ...

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?

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 ...