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Graph this function using graphing algorithm.
y=x2/(x2+1)
use the function and find :x and y interceptand assymptotes
use the first derivative and find:critical points.
use the second derivative and find:concavity and points of inflection.
Hello rafie !
Y = x^2 / (x^2 + 1)
Y = (x^2 + 1 - 1)/(x^2 + 1)
Y = 1 - 1/(x^2+1)
1)It is clear that the function is always less than 1
2) x = 0 --> y = 0
3) when x is equal to infinty then y = 1.
4) dy/dx = 2x/(x^2+1)^2 i.e x>0 increasing and x < 0 decreasing ...
Now the graph is simple ...
Both side ...symmetric ..
Regards
Yagya
askiitians_expert
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