document.write( "Question 155039: True or False: The function \"f(x)=3^x grows 3 times faster than the function g(x)= x. Explain. \n" ); document.write( "

Algebra.Com's Answer #114141 by Earlsdon(6294) $\"\"$ $\"About$

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This is false!
\n" ); document.write( " $\"f%28x%29+=+3x\"$ would grow three times faster than $\"g%28x%29+=+x\"$
\n" ); document.write( " $\"f%28x%29+=+3%5Ex\"$ increases exponentially as x increases and this will grow much faster than three times $\"g%28x%29+=+x\"$
\n" ); document.write( "Take a look a the graphs of each function to see the diffences in growth rate.
\n" ); document.write( " $\"f%28x%29+=+3%5Ex\"$ Green graph.
\n" ); document.write( " $\"g%28x%29+=+x\"$ Red graph.
\n" ); document.write( " $\"graph%28400%2C400%2C-4%2C10%2C-2%2C10%2Cx%2C3%5Ex%29\"$ \n" ); document.write( "

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