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**+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

CPhill
Mar 12, 2017