document.write( "Question 171741: I am having trouble solving these three questions involving logarithms and exponents. Any help with solving these would be appreciated. Thank you!!!!!
\n" ); document.write( "1. Do exponential functions only model phenomena that grow, or can they also model phenomena that decay? Explain what is different in the form of the function in each case
\n" ); document.write( "2. True or false: The function \"f(x) = 3x\" grows three times faster than the function \"g(x) = x\". Explain.
\n" ); document.write( "3. What are the asymptotes of the functions \"f(x) = 3x\" and \"g(x) = log52x\"? \n" ); document.write( "
Algebra.Com's Answer #126853 by stanbon(75887)\"\" \"About 
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1. Do exponential functions only model phenomena that grow, or can they also model phenomena that decay? Explain what is different in the form of the function in each case
\n" ); document.write( "Ans: They can model growth and they can model decay.
\n" ); document.write( "Form: y = ab^x
\n" ); document.write( "Growth if b>1
\n" ); document.write( "Decay if 0\n" ); document.write( "-----------------------------\r
\n" ); document.write( "\n" ); document.write( "2. True or false: The function \"f(x) = 3x\" grows three times faster than the function \"g(x) = x\". Explain.
\n" ); document.write( "Ans: f grows at a steady rate of 3 to 1
\n" ); document.write( "g grows grows at a steady rate of 1 to 1
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\n" ); document.write( "3. What are the asymptotes of the functions \"f(x) = 3x\" and \"g(x) = log52x\"?
\n" ); document.write( "Ans: f has no asymptote
\n" ); document.write( "g has a vertical asymptote at x = 0
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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