Question 180573: true or false: the function "f(x)=4^x" grows four times faster than the function "g(x)=x". Explain
Answer by Mathtut(3670)   (Show Source):
You can put this solution on YOUR website! I would think by growth they mean the output. So the given output for
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g(x)=x is g(x) mirrors whatever value x is (1,1),(2,2)(3,3)....etc
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f(x) grows much faster than 4 times
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f(1)=4
f(2)=16
f(3)=64
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comparing value of x for g(2) and f(2) is 2 compared to 16....that right their is 8 times faster
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g(3) compared to f(3) is 3 to 64....which is over 20 times faster.
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for every positive input f(x) grows at an expodential rate.
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therefore this has to be false.
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