How do you graph $y = 1/(1 + x^2)$ ?

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How do you graph $y = 1/(1 + x^2)$ ?

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Answer 1 · 2016-03-14T22:05:43

See explanantion

Explanation:

As you have $x^2$ then $1+x^2$ will always be positive. So $y$ is always positive.

As $x$ becomes smaller and smaller then $1/(1+x^2) -> 1/1 = 1$

So $lim_(x->0) 1/(1+x^2)=1$

As $x$ becomes bigger and bigger then $1+x^2$ becomes bigger so $1/(1+x^2)$ becomes smaller.

$lim_(x->+-oo) 1/(1+x^2)=0$

$color(blue)("build a table of value for different values of "x" and calculate the appropriate values of y. Plot")$ $color(blue)(" the obtained values of y against those chosen for x")$

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How do you graph $y = 1/(1 + x^2)$ ?

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How do you graph y = 1/(1 + x^2)y = 1/(1 + x^2)?

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How do you graph $y = 1/(1 + x^2)$ ?