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Popular >

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

Solution

f (x) = ∣ x + 3 ∣ - 3

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - 3

X Intercepts : (- 6, 0), (0, 0), Y Intercepts : (0, 0)

Asymptotes : Slant y = x

Extreme Points : Minimum (- 3, - 3)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 3, \infty)

Solution steps

Domain of

∣ x + 3 ∣ - 3 : - \infty < x < \infty

Range of

∣ x + 3 ∣ - 3 : f (x) \geq - 3

Axis interception points of

∣ x + 3 ∣ - 3 :

X Intercepts

: (- 6, 0), (0, 0),

Y Intercepts

: (0, 0)

Asymptotes of

∣ x + 3 ∣ - 3 :

Slant

: y = x

Extreme Points of

∣ x + 3 ∣ - 3 :

Minimum

(- 3, - 3)

Popular Examples

f (x) = 2^{- x} - 1

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r, r = 6 tan (θ) sec (θ)

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

f (x) = - 5 + 3

f (x) = 3 x^{2} + x + 12

Frequently Asked Questions (FAQ)

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