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Let \(f(x)=\left(\frac37\right)^x\)  be a function that is defined on the domain \([0,\infty)\) . Find the range of the function.

tertre  Mar 12, 2017
 #1
avatar+87293 
+5

On the restricted domain, the function will reach its highest point at y = 1 when x  = 0

[Note that this point will always be on the graph of y = a^x ]

 

As x gets larger and larger......y gets smaller and smaller, but always > 0

 

So....the range is  (0, 1 ]

 

Look at the graph : https://www.desmos.com/calculator/whogz6eb9o

 

 

cool cool cool

CPhill  Mar 12, 2017

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