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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})

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{1}{2}, \frac{1}{2}]

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})

Popular Examples

integral from 0 to 1 of (xsqrt(x^2+1))

\int_{0}^{1} (x x^{2} + 1) d x

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\frac{d}{d x} (\frac{120}{( 1 - x ) ^{6}})

tangent of ((x+3))/(2x+1)tangent of

\frac{( x + 3 )}{2 x + 1}

slope of (-8.5)(6.2)slope

(- 8.5) (6.2)

derivative of (3x^2(x^{1/2}))

\frac{d}{d x} ((3 x^{2}) (x^{\frac{1}{2}}))

Frequently Asked Questions (FAQ)

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