SOLUTION: True or False: The function "f(x)=3^x grows 3 times faster than the function g(x)= x. Explain.

Algebra ->  Human-and-algebraic-language -> SOLUTION: True or False: The function "f(x)=3^x grows 3 times faster than the function g(x)= x. Explain.      Log On


   

Question 155039: True or False: The function "f(x)=3^x grows 3 times faster than the function g(x)= x. Explain.
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
This is false!
f%28x%29+=+3x would grow three times faster than g%28x%29+=+x
f%28x%29+=+3%5Ex increases exponentially as x increases and this will grow much faster than three times g%28x%29+=+x
Take a look a the graphs of each function to see the diffences in growth rate.
f%28x%29+=+3%5Ex Green graph.
g%28x%29+=+x Red graph.
graph%28400%2C400%2C-4%2C10%2C-2%2C10%2Cx%2C3%5Ex%29