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  
 
+1
148
2
avatar+91 

Find the range of the function
\(p(x) = \frac{x^2 + x + 1}{x^2 + 1}. \)

 Jun 24, 2019
 #1
avatar+104783 
+3

x^2 + x + 1

________

x^2  + 1

 

We would need Calculus  to determine this mathematically......a graph might work better 

 

Look here  :  https://www.desmos.com/calculator/ndujaokd6r

 

The max value for y  occurs at   (1, 1.5)

And the minimum value for y occurs at  (-1, 0.5)

And all y values between these are defined

 

So.....the range is   [ 0.5, 1.5 ]

 

 

cool cool cool

 Jun 24, 2019
edited by CPhill  Jun 24, 2019
 #2
avatar+91 
+1

Thanks :)

Pushy  Jun 25, 2019

13 Online Users

avatar
avatar