So far, you will probably have dealt in quite a lot of detail with linear, quadratic and circular graphs.

There are a few more graphs you have to be able to deal with. This activity is about a type of graph called** exponentials.**

The good news with these is that you only have to be able to recognise, sketch and categorise these graphs and their function.

**What is an exponential graph?**

An exponential is any graph with the general form **y = a ^{x}**

For example: **y = 4 ^{x} is a exponential function**.

You can quite easily spot an exponential function as it has a very specific shape.

The word exponential means **getting bigger**, so these graphs just keep growing.

**The significant points of the exponential graph**

There are a couple of things to get your head around with an exponential graph.

Firstly, it has an **asymptote **on the x-axis. You can see from the graph above that the curve starts really close to the x–axis but never actually touches it.

Secondly, **all **exponential graphs **cross at the point (0,1)**. Think logically about this - anything to the power of zero is always 1.

Let's try some questions now.