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Contents:

A Rational exponents [1.9, 2.4]

B Exponential functions [3.2, 3.3, 3.5, 3.8]

C Exponential equations [2.11]

D Problem solving with exponential

functions [3.2]

E Exponential modelling [3.2]

Opening problem

#endboxedheading

Sergio is a land developer. He estimates that each year

his business will increase by30%over the previous

year. Currently his assets are valued at 3 : 8 million

pounds. If his prediction is accurate, the formula

F=3: 8 £(1:3)ncan be used to find his future assets

$F

Things to think about:

a What are his predicted assets in:

i 2 years ii 10 years?

b What would the graph ofFagainstnlook like?

c How long will it take for his assets to reach$ 20

million in value?

Exponential functions

and equations

million afternyears.

IGCSE01

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Y:\HAESE\IGCSE01\IG01_28\565IGCSE01_28.CDR Tuesday, 28 October 2008 12:46:54 PM PETER