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Popular >

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

Solution

f (x) = ∣ x - 1 ∣ + ∣ x ∣

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq 1

Y Intercepts : (0, 1)

Asymptotes : Slant y = 2 x - 1

Extreme Points : None

+1

Interval Notation

Domain : (- \infty, \infty)

Solution steps

Domain of

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

Range of

∣ x - 1 ∣ + ∣ x ∣ : f (x) \geq 1

Axis interception points of

∣ x - 1 ∣ + ∣ x ∣ :

Y Intercepts

: (0, 1)

Asymptotes of

∣ x - 1 ∣ + ∣ x ∣ :

Slant

: y = 2 x - 1

Extreme Points of

∣ x - 1 ∣ + ∣ x ∣ :

None

Graph

Popular Examples

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f (x) = x^{2} - 12 x - 20

y=log_{10}(\sqrt[3]{sqrt(12x)})

y = lo g_{10} (3 12 x)

y = e x

Frequently Asked Questions (FAQ)

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