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helpful 4.2 notes on topics and answers
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4.2.1 The Natural Exponential Functions
The natural exponential function is the exponential function
f ( x ) = e x
with base e.
Example 1 Graph g ( x ) = e ^ x^ 2 from the graph of f ( x ) = e x^. State the domain, range and asymptote(s).
4.2.2 Continuously Compound Interest
Continusouly compound interest is calculated by the formula
A ( t ) = Pe rt
Example 3 Which of the given interest rates and compounding periods would provide the better investment? (a) 5.2% per year, compounded semiannually;
(b) 5% per year, compounded continuously
