Find the x- and y-intercepts of the rational function. (If an answer does not ex

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Find the x- and y-intercepts of the rational function. (If an answer does not exist, enter DNE.)
r(x) = 
x2 − 4
x2

x-intercept    
(xy) = 
 
−2,0
  
     (smaller x-value)
x-intercept    
(xy) = 
 
2,0
  
     (larger x-value)
y-intercept    
(xy) = 
 
∞,0
  
Jul 15th, 2015

Thank you for the opportunity to help you with your question!


To find the x-intercepts, put r(x) = 0



So, x-intercepts are x = 2, -2


To find the y-intercepts, put x = 0

 

Division by 0 is undefined.

So, there are no y-intercepts.


ANSWER:

x-intercepts : (2,0) , (-2,0)

y-intercept  : DNE

Please let me know if you need any clarification. I'm always happy to answer your questions.
Jul 15th, 2015

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