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)
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 f(x) = e^x can be written as f(x - 2) + 5
This translation of f(x) = e^x can be written as f(x - 2) + 5
This letter 'e'
The letter 'e' represents the natural base (Euler's Number)
e is like π - it is a constant
e is approximately equal to 2.718...
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 physics, engineering, economics etc.
In physics it is used for exponential decay of radioactive materials
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 inverse functions to exponential functions
They have an asymptote of y = 0
They have an asymptote of y = 0
Every single log graph passes through (1, 0)
Natural Logs
The natural log is the inverse function to the exponential function
A natural log is log to the base e
This can be written as:
Loge x = Ln x
A natural log is log to the base e
This can be written as:
Loge x = Ln x
Natural logs follow the same rules as all other logs from C2