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!!!!

PhoenixForever Feb 1, 2019

#1**+2 **

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

CPhill Feb 1, 2019

#2**+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