(a) Define an exponential function. (b) What do you mean by exponential growth and…

MATHEMATICS · Subjective · A Level · Mathematics · Exponentials and logarithms · Exponentials and logarithms

Problem

(a) Define an exponential function. (b) What do you mean by exponential growth and exponential decay? (c) State clearly the numerical condition on the base bb that distinguishes growth from decay. (d) Write the domain and range of a general exponential function f(x)=abxf(x)=a b^{x} with a≠0a\neq 0 and b>0b>0, b≠1b\neq 1.

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