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  • Find the range of each of the following functions f (x) = x ^2 + 2 , x is a real number.

Q5 (2)  Find the range of each of the following functions

         f ( x ) = x ^2 +2 , x is a real number.

Answers (1)

best_answer

Given function is 

f ( x ) = x ^2 +2
It is given that  x is a real  number
Now,
\Rightarrow x^2 \geq 0
Add 2 on both the sides 
\Rightarrow x^2+2 \geq 0+2
\Rightarrow f(x) \geq 2 \ \ \ \ \ \ \ \ \ \ \ \ \ \ (\because f(x) = x^2+2)
Therefore,
Range of function f ( x ) = x ^2 +2 is  [2,\infty)

Posted by

Gautam harsolia

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