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Popular >

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

Solution

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

Solution

Domain : x < 0 or x > 0

Range : - 4 \leq f (x) < 0

Intercepts : None

Asymptotes : Horizontal y = 0

Extreme Points : None

+1

Interval Notation

Domain : (- \infty, 0) \cup (0, \infty)

Range : [- 4, 0)

Solution steps

Domain of

\frac{∣ 2 x - 1 ∣ - ∣ 2 x + 1 ∣}{x} : x < 0 or x > 0

Range of

\frac{∣ 2 x - 1 ∣ - ∣ 2 x + 1 ∣}{x} : - 4 \leq f (x) < 0

Axis interception points of

\frac{∣ 2 x - 1 ∣ - ∣ 2 x + 1 ∣}{x} :

None

Asymptotes of

\frac{∣ 2 x - 1 ∣ - ∣ 2 x + 1 ∣}{x} :

Horizontal

: y = 0

Extreme Points of

\frac{∣ 2 x - 1 ∣ - ∣ 2 x + 1 ∣}{x} :

None

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Frequently Asked Questions (FAQ)

What is the f(x)=(|2x-1|-|2x+1|)/x ?
The f(x)=(|2x-1|-|2x+1|)/x is