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Popular >

f(x)=sqrt(2|2x+1|-4|x|)

Solution

f (x) = 2 ∣ 2 x + 1 ∣ - 4 ∣ x ∣

Solution

Domain : x \geq - \frac{1}{4}

Range : 0 \leq f (x) \leq 2

X Intercepts : (- \frac{1}{4}, 0), Y Intercepts : (0, 2)

Asymptotes : Horizontal y = 2

Extreme Points : Minimum (- \frac{1}{4}, 0)

+1

Interval Notation

Domain : [- \frac{1}{4}, \infty)

Range : [0, 2]

Solution steps

Domain of

2 ∣ 2 x + 1 ∣ - 4 ∣ x ∣ : x \geq - \frac{1}{4}

Range of

2 ∣ 2 x + 1 ∣ - 4 ∣ x ∣ : 0 \leq f (x) \leq 2

Axis interception points of

2 ∣ 2 x + 1 ∣ - 4 ∣ x ∣ :

X Intercepts

: (- \frac{1}{4}, 0),

Y Intercepts

: (0, 2)

Asymptotes of

2 ∣ 2 x + 1 ∣ - 4 ∣ x ∣ :

Horizontal

: y = 2

Extreme Points of

2 ∣ 2 x + 1 ∣ - 4 ∣ x ∣ :

Minimum

(- \frac{1}{4}, 0)

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Frequently Asked Questions (FAQ)

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