SOLUTION: true or false: the function "f(x)=4^x" grows four times faster than the function "g(x)=x". Explain

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
:
g(x)=x is g(x) mirrors whatever value x is (1,1),(2,2)(3,3)....etc
:
f(x) grows much faster than 4 times
:
f(1)=4
f(2)=16
f(3)=64
:
comparing value of x for g(2) and f(2) is 2 compared to 16....that right their is 8 times faster
:
g(3) compared to f(3) is 3 to 64....which is over 20 times faster.
:
for every positive input f(x) grows at an expodential rate.
:
therefore this has to be false.
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