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Popular Functions >

f(x)=sqrt(|x+1|-3)

Solution

f (x) = ∣ x + 1 ∣ - 3

Solution

Domain : x \leq - 4 or x \geq 2

Range : f (x) \geq 0

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

Asymptotes : None

Extreme Points : Minimum (- 4, 0), Minimum (2, 0)

+1

Interval Notation

Domain : (- \infty, - 4] \cup [2, \infty)

Range : [0, \infty)

Solution steps

Domain of

∣ x + 1 ∣ - 3 : x \leq - 4 or x \geq 2

Range of

∣ x + 1 ∣ - 3 : f (x) \geq 0

Axis interception points of

∣ x + 1 ∣ - 3 :

X Intercepts

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

Asymptotes of

∣ x + 1 ∣ - 3 :

None

Extreme Points of

∣ x + 1 ∣ - 3 :

Minimum

(- 4, 0),

Minimum

(2, 0)

Graph

Popular Examples

y=((3xsin(x))/(3x+1))^3

f(x)=-3x^2+18x-7

Frequently Asked Questions (FAQ)

What is the f(x)=sqrt(|x+1|-3) ?
The f(x)=sqrt(|x+1|-3) is