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Given that \(f(x) = \left(\dfrac{1}{\pi}\right)^x\), what is the range of f(x) on the interval \([0, \infty)\)? Give your answer in interval notation.

 Oct 15, 2019
 #1
avatar+106536 
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Note that when x = 0....f(x)  =   1

 

As x grows larger and larger.....f(x)   tends to approach y =  0   (the x axis)

 

So....the range is   (0, 1]

 

See the graph here :   https://www.desmos.com/calculator/5s4fsm8zqo

 

 

cool cool cool

 Oct 15, 2019

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