# Exponential and Logarithmic Functions : Growth and Asymptotes

(True or false?)

A) The function "f(x)=3^x" grows three times faster than function "g(x)=x" (explain)

B) What are the asymptotes of the functions "f(x)=3^x" and "g(x)=log5 2x"? (explain)

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#### Solution Preview

A) False. The function f(x)=3x would grows three times faster than function g(x)=x, but f(x) = 3^x grows exponentially, i.e. many more times faster than g(x) = x.

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#### Solution Summary

Exponential and Logarithmic Functions, Growth and Asymptotes are investigated.

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