document.write( "Question 180573: true or false: the function \"f(x)=4^x\" grows four times faster than the function \"g(x)=x\". Explain \n" ); document.write( "

Algebra.Com's Answer #135343 by Mathtut(3670) $\"\"$ $\"About$

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I would think by growth they mean the output. So the given output for
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\n" ); document.write( "g(x)=x is g(x) mirrors whatever value x is (1,1),(2,2)(3,3)....etc
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\n" ); document.write( "f(x) grows much faster than 4 times
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\n" ); document.write( "f(1)=4
\n" ); document.write( "f(2)=16
\n" ); document.write( "f(3)=64
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\n" ); document.write( "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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\n" ); document.write( "g(3) compared to f(3) is 3 to 64....which is over 20 times faster.
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\n" ); document.write( "for every positive input f(x) grows at an expodential rate.
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\n" ); document.write( "therefore this has to be false. \n" ); document.write( "

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