Posts Tagged ‘exponential’

## Exponential Functions

October 24, 2009
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Exponential functions are any function of the form

latex for some constants a and b.

If a and b are both positive then the graph will be an upward curve which tends to infinity as x tends to infinity and tends to 0 as x tends to negative infinity and looks something like the below. Note that all exponential graphs cut the y axis at 1.

If a is positive and b is negative the graph is simply a reflection of this about the y axis to give the following graph:

The most import exponential graph is because the gradient of this graph is always equal to the value of at that point.

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Categories: algebra, calculus
exponential, function, graph

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