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Let f ={(x ,(x^2)/(1+x^2)):x in R}be a f...

Let `f ={(x ,(x^2)/(1+x^2)):x in R}`be a function from R into R. Determine the rage of f.

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To determine the range of the function \( f(x) = \frac{x^2}{1+x^2} \) where \( x \in \mathbb{R} \), we will follow these steps: ### Step 1: Set up the equation We start with the function: \[ y = \frac{x^2}{1+x^2} \] We want to express this in a way that allows us to analyze its behavior. ...
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