en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

Solution

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

Solution

Domain : - \infty < x < \infty

Range : - 1 \leq f (x) \leq 1

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

Asymptotes : Horizontal y = 0

Extreme Points : Minimum (- 1, - 1), Maximum (1, 1)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 1, 1]

Solution steps

Domain of

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

Range of

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

Axis interception points of

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

X Intercepts

: (0, 0),

Y Intercepts

: (0, 0)

Asymptotes of

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

Horizontal

: y = 0

Extreme Points of

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

Minimum

(- 1, - 1),

Maximum

(1, 1)

Popular Examples

f(x)=(x+3)/(x-5)

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

f (x) = cot (x^{2})

f(x)=-(x-4)^2+3

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

f(x)=(x-5)(x+6)(x-10)

f (x) = (x - 5) (x + 6) (x - 10)

y = (x - 4) (x + 2)

Frequently Asked Questions (FAQ)

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