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Find the range of the function (x^2 +14x+9)/(x^2 + 1)
as x varies over all real numbers.

 Dec 14, 2020
 #1
avatar+114221 
+1

( x^2 + 14x + 9)  / ( x^2 + 1)

 

This function is continous because no real  number makes the  denominator   =   0 

 

See the graph here  :  https://www.desmos.com/calculator/34h1ajzafs

 

The range is  approx.   [ -3.062, 13.062 ]

 

 

cool cool cool

 Dec 15, 2020

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