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What are the domain and range of this function?

 

f(x)= 3/5x^5

 

The picture below shows the options for answers...please help me get this practice right so I have a full understanding when I take a test next week, thank you!!!!

 Feb 1, 2019
 #1
avatar+103121 
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I think this is

 

3 / [ 5x^5 ]

 

The domain is  everything but x = 0  [it makes the denominator = 0 ]

So ...domain is  (-inf, 0 ) u (0, inf)

 

The range is a little trickier

We have a lower degree polynomial / higher degree polynomial

Whenever this happens..in the absence of any other shift up/down...we will have a horizontal asymptote of y = 0

So...the range is  (-inf, 0) U (0, inf)

 

Second answer

 

Here's a graph : https://www.desmos.com/calculator/jaehkdqcim

 

cool cool cool

 Feb 1, 2019
edited by CPhill  Feb 1, 2019
 #2
avatar+381 
+1

Thank you very much! I agree, figuring out the range was a little more difficult for me to understand. Good explanation!

PhoenixForever  Feb 1, 2019

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