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Popular >

y=|x-1|

Solution

y = ∣ x - 1 ∣

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq 0

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

Asymptotes : Slant y = x - 1

Extreme Points : Minimum (1, 0)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [0, \infty)

Solution steps

Domain of

∣ x - 1 ∣ : - \infty < x < \infty

Range of

∣ x - 1 ∣ : f (x) \geq 0

Axis interception points of

∣ x - 1 ∣ :

X Intercepts

: (1, 0),

Y Intercepts

: (0, 1)

Asymptotes of

∣ x - 1 ∣ :

Slant

: y = x - 1

Extreme Points of

∣ x - 1 ∣ :

Minimum

(1, 0)

Popular Examples

inflection f(x)= x/(x^2+1)inflection points

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

extreme f(x)=2xsqrt(2x^2+4)extreme points

f (x) = 2 x 2 x^{2} + 4

range of arcsin(x)range

arcsin (x)

symmetry x^2+6x+3 symmetry

x^{2} + 6 x + 3

vertices y=x^2-6x+18 vertices

y = x^{2} - 6 x + 18

Frequently Asked Questions (FAQ)

What is the y=|x-1| ?
The y=|x-1| is