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