In this Section we revisit the use of exponents. We consider how the expression a x is defined when a is a positive number and x is irrational . Previously we have only considered examples in which x is a rational number. We consider these exponential functions f ( x ) = a x in more depth and in particular consider the special case when the base a is the exponential constant e where :

e = 2.7182818

We then examine the behaviour of e x as x , called exponential growth and of e x as x called exponential decay .


Learning Outcomes

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