Question 145285
{{{f(x) = x^3 - 3x^2 - 2x + 1}}}


f(1)=-3, f(2)=-7, f(4)=9, f(8)=305, f(16)=3,297



Graph:

{{{ graph( 500, 500, -10, 10, -10, 10, x^3 - 3x^2 - 2x + 1) }}}


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{{{f(x)=e^x}}}: 



f(1)=2.71828, f(2)=7.38906, f(4)=54.59815, f(8)=2980.9579, f(16)=8886110.5205


Graph:


{{{ graph( 500, 500, -10, 10, -10, 10, exp(x)) }}} 


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f(x) = 3x - 2 :

f(1)=1, f(2)=4, f(4)=10, f(8)=22, f(16)=46



Graph:


{{{ graph( 500, 500, -10, 10, -10, 10, 3x - 2) }}} 

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f(x)=log(x):


f(1)=0, f(2)=0.30103, f(4)=0.60206, f(8)=0.90309, f(16)=1.20412



Graph:

{{{ graph( 500, 500, -10, 10, -10, 10, log(10,x)) }}}


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f(x) = x^2 - 5x + 6:

f(1)=2, f(2)=0, f(4)=2, f(8)=30, f(16)=182



Graph:


{{{ graph( 500, 500, -10, 10, -10, 10, x^2 - 5x + 6) }}} 
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Rank from fastest growing to slowest growing:


1) {{{f(x)=e^x}}}
2) {{{f(x)=x^3 - 3x^2 - 2x + 1}}}
3) {{{f(x)=x^2 - 5x + 6}}}
4) {{{f(x)=3x-2}}}
5) {{{f(x)=log((x))}}}