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avatar+254 

Hi, I was wondering if someone could help me on this problem?

 

The domain of the function \(q(x) = x^4 + 4x^2 + 4\) is \([0,\infty)\). What is the range?

 

Thank you so much!

 Dec 14, 2020
 #1
avatar+114221 
+2

Factor   this as  

 

(x^2  + 2)^2

 

This has no real zero    ......so....the  function lies entirely above the  x axis

 

Since  both of the  variable  terms  only have  minimums when x  =  0,  the  minimum of the  fuction =  4

 

So....the range is  [ 4, infinity )

 

 

cool cool cool

 Dec 15, 2020
 #2
avatar+254 
0

Thank you so much, CPhill!

Caffeine  Dec 16, 2020

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