en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

Solution

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

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

Range of

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

Axis interception points of

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

X Intercepts

: (0, 0),

Y Intercepts

: (0, 0)

Asymptotes of

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

Horizontal

: y = 0

Extreme Points of

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

Minimum

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

Maximum

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

Popular Examples

f(x)=sin(x)+cos(x)+1

f (x) = sin (x) + cos (x) + 1

u (x) = x

f(x)= 5/3 x^3-5/2 x^2

f (x) = \frac{5}{3} x^{3} - \frac{5}{2} x^{2}

f(x)=-4x^3+23x^2-14x-5

f (x) = - 4 x^{3} + 23 x^{2} - 14 x - 5

y=(sqrt(1+4x^2))/(sqrt(1-4x^2))

y = \frac{1 + 4 x ^{2}}{1 - 4 x ^{2}}

Frequently Asked Questions (FAQ)

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