document.write( "Question 1194159: What is the growth factor for the exponential function f(x)=3(1.5)^x
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document.write( "let g(x)=200 (1.2)^x
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document.write( "g(0)=?
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document.write( "g(3)=?
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Algebra.Com's Answer #826293 by math_tutor2020(3817)![]() ![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "The growth factor of f(x) = 3(1.5)^x is 1.5 \n" ); document.write( "It is the base of the exponential function\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "In general we have \n" ); document.write( "y = a*b^x \n" ); document.write( "a = initial value = y intercept \n" ); document.write( "b = growth factor if b > 1, decay factor if 0 < b < 1\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "========================================================\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "For your other question, we replace x with the values mentioned and compute. \n" ); document.write( "g(x) = 200(1.2)^x \n" ); document.write( "g(0) = 200(1.2)^0 \n" ); document.write( "g(0) = 200(1) \n" ); document.write( "g(0) = 200 \n" ); document.write( "and \n" ); document.write( "g(x) = 200(1.2)^x \n" ); document.write( "g(3) = 200(1.2)^3 \n" ); document.write( "g(3) = 200(1.728) \n" ); document.write( "g(3) = 345.6 \n" ); document.write( " \n" ); document.write( " |