en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

Solution

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

Solution

Domain : x \leq - 1 or x \geq 1

Range : 0 \leq f (x) < 1

X Intercepts : (1, 0), (- 1, 0)

Asymptotes : Horizontal y = 1

Extreme Points : Minimum (- 1, 0), Minimum (1, 0)

+1

Interval Notation

Domain : (- \infty, - 1] \cup [1, \infty)

Range : [0, 1)

Solution steps

Domain of

\frac{x ^{2} - 1}{x ^{2} + 1} : x \leq - 1 or x \geq 1

Range of

\frac{x ^{2} - 1}{x ^{2} + 1} : 0 \leq f (x) < 1

Axis interception points of

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

X Intercepts

: (1, 0), (- 1, 0)

Asymptotes of

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

Horizontal

: y = 1

Extreme Points of

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

Minimum

(- 1, 0),

Minimum

(1, 0)

Popular Examples

f(x)=|2x-7|+|x-1|+|x+5|

f (x) = ∣ 2 x - 7 ∣ + ∣ x - 1 ∣ + ∣ x + 5 ∣

f (n) = 64 n^{3} - 27

f (y) = \frac{4}{y}

f(x)=6x^3+25x^2+2x-8

f (x) = 6 x^{3} + 25 x^{2} + 2 x - 8

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

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

Frequently Asked Questions (FAQ)

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