Applying Trigonometric Functions

by Justin
(Sydney, New South Wales, Australia)

a) Given functions y = a^x and y = (1/a)^x where x is real and a>1, draw graphs to illustrate the relationship between the two functions and describe this relationship in words. You may or may not use a specific base for a.

b) State the domain and range of each function in (a).
c) Every exponential function is a geometric progression but not every geometric progression is an exponential function. Explain.

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