+0  
 
0
35
1
avatar

What is the range of the function f(x) = 1/x^3?

 Mar 12, 2021
 #1
avatar+118069 
+1

Note  that the function  is NOT defined at x  = 0

 

When x  is  a large negative, f(x)  =  is only slightly  negative, but not  0

When  x is a very small negative,  f(x) is an extremely LARGE negative  verging towards  - inf

When  x is a small positive, f(x)  is a LARGE positive verging towards + inf

When x  is  a large positive, f(x) is only slightly positive, but  not  0

 

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

 

The graph here confirms this  :  https://www.desmos.com/calculator/fmxqof7zjz

 

 

cool cool cool

 Mar 12, 2021

29 Online Users

avatar
avatar
avatar
avatar
avatar
avatar