document.write( "Question 1194159: What is the growth factor for the exponential function f(x)=3(1.5)^x
\n" ); document.write( "let g(x)=200 (1.2)^x
\n" ); document.write( "g(0)=?
\n" ); document.write( "g(3)=?
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Algebra.Com's Answer #826293 by math_tutor2020(3817)\"\" \"About 
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\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
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\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
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\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
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