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Popular >

y= x/(x^2+1)

Solution

y = \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

range of f(x)=-sqrt(x)+2 range

f (x) = - x + 2

inverse of f(x)=2^{3-x}-7 inverse

f (x) = 2^{3 - x} - 7

domain of f(x)=(x/(1+x))/(1+x/(1+x))domain

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

symmetry x^2-2 symmetry

x^{2} - 2

extreme f(x)=3+sin((2pi)/3 x)extreme points

f (x) = 3 + sin (\frac{2 π}{3} x)

Frequently Asked Questions (FAQ)

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