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Popular >

f(x)=|x|+|x+2|-|2x+4|

Solution

f (x) = ∣ x ∣ + ∣ x + 2 ∣ - ∣ 2 x + 4 ∣

Solution

Domain : - \infty < x < \infty

Range : - 2 \leq f (x) \leq 2

X Intercepts : (- 1, 0), Y Intercepts : (0, - 2)

Asymptotes : Horizontal y = - 2

Extreme Points : None

+1

Solution steps

Domain of

∣ x ∣ + ∣ x + 2 ∣ - ∣ 2 x + 4 ∣ : - \infty < x < \infty

Range of

∣ x ∣ + ∣ x + 2 ∣ - ∣ 2 x + 4 ∣ : - 2 \leq f (x) \leq 2

Axis interception points of

∣ x ∣ + ∣ x + 2 ∣ - ∣ 2 x + 4 ∣ :

X Intercepts

: (- 1, 0),

Y Intercepts

: (0, - 2)

Asymptotes of

∣ x ∣ + ∣ x + 2 ∣ - ∣ 2 x + 4 ∣ :

Horizontal

: y = - 2

Extreme Points of

∣ x ∣ + ∣ x + 2 ∣ - ∣ 2 x + 4 ∣ :

None

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Frequently Asked Questions (FAQ)

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