We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive pseudonymised information about your use of our website. cookie policy and privacy policy.
 
+0  
 
0
181
2
avatar

1. 

2. 

 Feb 8, 2018
 #1
avatar+99397 
+1

1.

 

The domain includes all real numbers except x  = 0  [ this value makes the denominator  = 0 ]

 

So......

 

Domain  =  (- inf, 0 ) U (0, inf)

 

For the range....we have a lower power polynomial over a higher power polynomial.....when this is the case,  we will have a horizontal asymptote at y  =0

 

So,the range is the same as the domain   (-inf, 0) U ( 0, inf)

 

 

cool cool cool

 Feb 9, 2018
 #2
avatar+99397 
+1

2.   

 

 The function  will have a vertical asymptote at x  = 2  ....this value makes the denominator of the first fraction 0

 

Looking at the first fraction, we have a lower power polynomial  over a higher power poynomial....this would give us a horizontal asymptote at y   = 0....however,  the  " + 9 "   actually shifts this up 9 units

 

So....the asymptotes are

 

x  = 2     and y  = 9 

 

 

cool cool cool

 Feb 9, 2018

15 Online Users

avatar
avatar