document.write( "Question 181018: Can you help me with this please.\r
\n" ); document.write( "\n" ); document.write( "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. \r
\n" ); document.write( "\n" ); document.write( "True or false: The function \"f(x) = 4x\" grows four times faster than the function \"g(x) = x\".  Explain.
\n" ); document.write( "

Algebra.Com's Answer #135684 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
Can you help me with this please.
\n" ); document.write( "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( "Form: y = ab^x
\n" ); document.write( "If 0 < b < 1 the function is a decay function.
\n" ); document.write( "If b > 1 the function is a growth function
\n" ); document.write( "----------------------------------------------------------
\n" ); document.write( "True or false: The function \"f(x) = 4x\" grows four times faster than the function \"g(x) = x\". Explain.
\n" ); document.write( "Yes. The slope gives the average rate. f(x)=4x has a slope of 4 and
\n" ); document.write( "f(x) = x has a slope of 1.
\n" ); document.write( "===============================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "
\n" ); document.write( "
\n" );