document.write( "Question 173599: 2. True or false: The function \"f(x) = 3^x\" grows three times faster than the function \"g(x) = x\". Explain. \n" ); document.write( "

Algebra.Com's Answer #128485 by Alan3354(69443) $\"\"$ $\"About$

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2. True or false: The function \"f(x) = 3^x\" grows three times faster than the function \"g(x) = x\". Explain.
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\n" ); document.write( "What does \"grows three times faster\" mean? In a math class, things should be clearly defined.
\n" ); document.write( "Ignoring that, it's false. There is no definition of \"grows three times faster\" that would fit this situation. You could say that y = 4x grows three times faster than y = x since the slope is 3 times more than y = x.
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\n" ); document.write( "The author of the problem probably meant to point out that 3^x is vastly different from 3x, but even that was done poorly. 3 times faster is 4 times as fast. If not, then 1 time faster would be the same rate, and why would the word \"faster\" be used? \n" ); document.write( "

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