Functions

A function basically relates an input to an output, there’s an input, a relationship and an output.  For every input there is only one output.  This relationship between two variables is the most important in mathematics.

We want to understand the behavior of this relationship, in particular the domain, range, intercepts, parity, asymptotes, extreme points, and we want to draw the graph.

With Symbolab you can simply type in a function and with one click get all the properties with detailed steps, and an interactive graph that you can zoom in/our or move around.  You can also type in the property you’re looking for, for example domain or range (see functions menu for the full list of properties)

Let’s get started with a rational function (click here):

The graph showing the asymptotes and intercepts:

That’s a lot to digest.

Here’s another example of an exponential function (click here):

For more functions click here

Cheers,
Michal