Questions on Word Problems: Translating English into Algebreze answered by real tutors!

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Question 155039: True or False: The function "f(x)=3^x grows 3 times faster than the function g(x)= x. Explain.: True or False: The function "f(x)=3^x grows 3 times faster than the function g(x)= x. Explain.
Answer by Earlsdon(3717) About Me  (Show Source):
You can put this solution on YOUR website!
This is false!
f(x) = 3x would grow three times faster than g(x) = x
f(x) = 3^x increases exponentially as x increases and this will grow much faster than three times g(x) = x
Take a look a the graphs of each function to see the diffences in growth rate.
f(x) = 3^x Green graph.
g(x) = x Red graph.
graph(400,400,-4,10,-2,10,x,3^x)