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Popular >

y=|x-1|-3

Solution

y = ∣ x - 1 ∣ - 3

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - 3

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

Asymptotes : Slant y = x - 4

Extreme Points : Minimum (1, - 3)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 3, \infty)

Solution steps

Domain of

∣ x - 1 ∣ - 3 : - \infty < x < \infty

Range of

∣ x - 1 ∣ - 3 : f (x) \geq - 3

Axis interception points of

∣ x - 1 ∣ - 3 :

X Intercepts

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

Y Intercepts

: (0, - 2)

Asymptotes of

∣ x - 1 ∣ - 3 :

Slant

: y = x - 4

Extreme Points of

∣ x - 1 ∣ - 3 :

Minimum

(1, - 3)

Popular Examples

f(x)=8x^3+6x^4-21x^2+15x-20

f (x) = 8 x^{3} + 6 x^{4} - 21 x^{2} + 15 x - 20

y = e^{x} - e^{- x}

f (x) = 14 x^{14}

y=-2x^2-28x-108

y = - 2 x^{2} - 28 x - 108

f(x)=-x^3-x^2-cos(x)

f (x) = - x^{3} - x^{2} - cos (x)

Frequently Asked Questions (FAQ)

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