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Popular >

f(x)= x/((1+x^2))

Solution

f (x) = \frac{x}{( 1 + x ^{2} )}

Solution

Domain : - \infty < x < \infty

Range : - \frac{1}{2} \leq f (x) \leq \frac{1}{2}

X Intercepts : (0, 0), Y Intercepts : (0, 0)

Asymptotes : Horizontal y = 0

Extreme Points : Minimum (- 1, - \frac{1}{2}), Maximum (1, \frac{1}{2})

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Solution steps

Domain of

\frac{x}{1 + x ^{2}} : - \infty < x < \infty

Range of

\frac{x}{1 + x ^{2}} : - \frac{1}{2} \leq f (x) \leq \frac{1}{2}

Axis interception points of

\frac{x}{1 + x ^{2}} :

X Intercepts

: (0, 0),

Y Intercepts

: (0, 0)

Asymptotes of

\frac{x}{1 + x ^{2}} :

Horizontal

: y = 0

Extreme Points of

\frac{x}{1 + x ^{2}} :

Minimum

(- 1, - \frac{1}{2}),

Maximum

(1, \frac{1}{2})

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Frequently Asked Questions (FAQ)

What is the f(x)= x/((1+x^2)) ?
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