+0  
 
+5
668
1
avatar+4609 

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

 Mar 12, 2017
 #1
avatar+128406 
+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

 Mar 12, 2017

3 Online Users

avatar
avatar
avatar