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Popular >

g(x)=|x+1|-3

Solution

g (x) = ∣ x + 1 ∣ - 3

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - 3

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

Asymptotes : Slant y = x - 2

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

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

Y Intercepts

: (0, - 2)

Asymptotes of

∣ x + 1 ∣ - 3 :

Slant

: y = x - 2

Extreme Points of

∣ x + 1 ∣ - 3 :

Minimum

(- 1, - 3)

Popular Examples

domain of\&range f(x)=x^2 domain and range

f (x) = x^{2}

y = 4 x - 5

y = \frac{x + 3}{x - 1}

y = 2 cos (x - π)

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

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

Frequently Asked Questions (FAQ)

What is the g(x)=|x+1|-3 ?
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