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What is the range of the function \(f(x) = 3- 2\cdot 51^x\)? Give your answer as an interval.

 Aug 2, 2018
edited by hibye  Aug 2, 2018
edited by hibye  Aug 2, 2018
 #1
avatar+102761 
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What function?

The range is the set of all possible y values.

 Aug 2, 2018
 #2
avatar+7 
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\(f(x) = 3- 2\cdot 51^x\)

hibye  Aug 2, 2018
edited by hibye  Aug 2, 2018
edited by hibye  Aug 2, 2018
 #3
avatar+102761 
+1

2.51^x must be positive so 3-2.52^x <3

 

So the range (-infinity, 3)

 

check

https://www.desmos.com/calculator/bpxkyov8pq

 Aug 2, 2018

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