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Popular Functions >

f(x)=(|x|-1)/(x+1)

Solution

f (x) = \frac{∣ x ∣ - 1}{x + 1}

Solution

Domain : x < - 1 or x > - 1

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

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

Asymptotes : Horizontal y = 1, y = - 1

Extreme Points : None

+1

Interval Notation

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

Range : [- 1, 1)

Solution steps

Domain of

\frac{∣ x ∣ - 1}{x + 1} : x < - 1 or x > - 1

Range of

\frac{∣ x ∣ - 1}{x + 1} : - 1 \leq f (x) < 1

Axis interception points of

\frac{∣ x ∣ - 1}{x + 1} :

X Intercepts

: (1, 0),

Y Intercepts

: (0, - 1)

Asymptotes of

\frac{∣ x ∣ - 1}{x + 1} :

Horizontal

: y = 1, y = - 1

Extreme Points of

\frac{∣ x ∣ - 1}{x + 1} :

None

Graph

Popular Examples

f(x)=(\sqrt[3]{x}-3)/(x-27)

f(x)=sqrt((x+3)/(7-x))

f(x)=(2x^3-7x+4)/x

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

Frequently Asked Questions (FAQ)

What is the f(x)=(|x|-1)/(x+1) ?
The f(x)=(|x|-1)/(x+1) is