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Popular Functions >

y=|3-x|-|x+1|+|x|

Solution

y = ∣ 3 - x ∣ - ∣ x + 1 ∣ + ∣ x ∣

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - 1

X Intercepts : (2, 0), (4, 0), Y Intercepts : (0, 2)

Asymptotes : Slant y = x - 4

Extreme Points : Minimum (3, - 1)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 1, \infty)

Solution steps

Domain of

∣ 3 - x ∣ - ∣ x + 1 ∣ + ∣ x ∣ : - \infty < x < \infty

Range of

∣ 3 - x ∣ - ∣ x + 1 ∣ + ∣ x ∣ : f (x) \geq - 1

Axis interception points of

∣ 3 - x ∣ - ∣ x + 1 ∣ + ∣ x ∣ :

X Intercepts

: (2, 0), (4, 0),

Y Intercepts

: (0, 2)

Asymptotes of

∣ 3 - x ∣ - ∣ x + 1 ∣ + ∣ x ∣ :

Slant

: y = x - 4

Extreme Points of

∣ 3 - x ∣ - ∣ x + 1 ∣ + ∣ x ∣ :

Minimum

(3, - 1)

Graph

Popular Examples

f(x)=2x^3-9x^2+x+15

f(x)=sqrt(3)*x^2-22x+7sqrt(3)

y=((sqrt(2x)-3))/6

Frequently Asked Questions (FAQ)

What is the y=|3-x|-|x+1|+|x| ?
The y=|3-x|-|x+1|+|x| is