First thing that comes to your mind when somebody says ‘graph’ is probably some chart, pie chart, or a column chart maybe. What if we told you that in a very similar way you can graph every function you know? On a first thought that does seem a bit weird, but this kind of a function representation has many applications. It can help you learn and easily put things into perspective.

### Graph theory lessons

If $a$ is the given base, $a>0$, $a \neq 1$, and if $x$ is any real number, then the function $$f(x) = a^x$$ is called the exponential function. The

Domain of the function $f(x)=|x|$ is the set of all real numbers, $\mathbb{R}$ and the range is the non-negative subset of $\mathbb{R}$, or the set of all ...

A complex number $z= x + yi$ can be written as the ordered pair $(x,y)$ of real numbers. Therefore, to the complex numbers we can join points in the

Graphing rational functions isn’t really that hard. There is some calculating, depending on the function.

Every function you ever came across with has its domain and codomain...

Find out how to draw a graph of sine, cosine, tangent and cotangent functions, inverse function and more.

Coordinate plane is a two dimensional number line. It is composed of two vertical line-axis: x-axis and y-axis.

Each function can be drawn as a graph. You need to follow some rules to graph quadratic function.

Every graph you ever saw has its own function. This is why graphing is so important. It lets’ us see a picture which in one moment tells us everything we want to know instead of searching and going through massive amounts of data. It saves us time and ultimately – it’s fun.

To get to some complicated and interesting things, first you have to go through simple parts. First you should learn about coordinate plane. Just like you made the transition from coordinate line to coordinate plane, soon you may be making the same transition from coordinate plane to coordinate space. From there you can only imagine. If you are interested in this, you can become one of the few people who can actually imagine multidimensional spaces, it all depends on you. Before floating off to the multidimensional space first you have to sort things out in a simple trigonometric plane. There are countless different functions waiting to be drawn.

You will learn a lot about graphs of trigonometric functions also. Their applications are countless. Sinusoidal functions can be used to represent any phenomenon that displays a wave pattern, for example electrical currents, radio broadcasting, low and high tides of the ocean, highways and buildings. Also, music is composed of waves that can be described using sine and cosine. Tan graphs can illustrate and explain the capabilities of battery eliminator circuits. So basically, everywhere you look around a trigonometric graph is there.

You won’t only be learning trigonometric or simple graphs. You’ll learn how to plot any function there is.