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Popular Functions >

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

Solution

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

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq 1

Y Intercepts : (0, 3)

Asymptotes : Slant y = x - 1

Extreme Points : Minimum (- 2, 1), Maximum (0, 3), Minimum (2, 1)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [1, \infty)

Solution steps

Domain of

∣ x + 2 ∣ + ∣ x - 2 ∣ - ∣ x ∣ - 1 : - \infty < x < \infty

Range of

∣ x + 2 ∣ + ∣ x - 2 ∣ - ∣ x ∣ - 1 : f (x) \geq 1

Axis interception points of

∣ x + 2 ∣ + ∣ x - 2 ∣ - ∣ x ∣ - 1 :

Y Intercepts

: (0, 3)

Asymptotes of

∣ x + 2 ∣ + ∣ x - 2 ∣ - ∣ x ∣ - 1 :

Slant

: y = x - 1

Extreme Points of

∣ x + 2 ∣ + ∣ x - 2 ∣ - ∣ x ∣ - 1 :

Minimum

(- 2, 1),

Maximum

(0, 3),

Minimum

(2, 1)

Graph

Popular Examples

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Frequently Asked Questions (FAQ)

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