**Exponential Graphs**

**Every exponential**graph passes through

**(0,1)**

This is because anything to the

**power 0 equals 1**

Every graph has an

**asymptote of x = 0**(it never reaches 0)

In the graph below the graph translated up 5 and 2 to the right

This translation of

This translation of

**f(x) = e^x**can be written as**f(x - 2) + 5**## This letter 'e'

The letter 'e' represents the

e is like π -

e is approximately equal to

**natural base**(Euler's Number)e is like π -

**it is a constant**e is approximately equal to

**2.718**...e is a number commonly found throughout the world of science

It is used in

In physics it is used for

It is used in

**physics, engineering, economics**etc.In physics it is used for

**exponential decay**of**radioactive materials****Logarithm Graphs**

Logarithm graphs are the

They have an

**inverse functions to exponential functions**They have an

**asymptote of y = 0**Every single log graph

**passes through****(1, 0)****Natural Logs**

The natural log is the

A

This can be written as:

Log

**inverse function**to the**exponential function**A

**natural log**is**log to the base e**This can be written as:

Log

**e**x = Ln xNatural logs follow the

**same rules**as all other logs from__C2__