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Find the range of each function for the domain(0, 10]

f ( x ) = 3 ^x - 2 ^x
 Mar 10, 2014
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heyon2:

Find the range of each function for the domain(0, 10]

f ( x ) = 3 ^x - 2 ^x



f(x) = 3 x - 2 x

When x=0 f(0)=1-1=0
When x>0 3 x>2 x therefore 3 x-2 x>0
When x=10 f(10)=3 10-2 10 = 58,025

Therefore the range for the given domain is 0<f(x)<=58,025
OR I suppose this could be express as range (0, 58,025]
 Mar 10, 2014

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