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Popular >

y=|x-2|-|2x-1|-|x|

Solution

y = ∣ x - 2 ∣ - ∣ 2 x - 1 ∣ - ∣ x ∣

Solution

Domain : - \infty < x < \infty

Range : f (x) \leq 1

X Intercepts : (- \frac{1}{2}, 0), (\frac{3}{4}, 0), Y Intercepts : (0, 1)

Asymptotes : Slant y = - 2 x - 1

Extreme Points : None

+1

Solution steps

Domain of

∣ x - 2 ∣ - ∣ 2 x - 1 ∣ - ∣ x ∣ : - \infty < x < \infty

Range of

∣ x - 2 ∣ - ∣ 2 x - 1 ∣ - ∣ x ∣ : f (x) \leq 1

Axis interception points of

∣ x - 2 ∣ - ∣ 2 x - 1 ∣ - ∣ x ∣ :

X Intercepts

: (- \frac{1}{2}, 0), (\frac{3}{4}, 0),

Y Intercepts

: (0, 1)

Asymptotes of

∣ x - 2 ∣ - ∣ 2 x - 1 ∣ - ∣ x ∣ :

Slant

: y = - 2 x - 1

Extreme Points of

∣ x - 2 ∣ - ∣ 2 x - 1 ∣ - ∣ x ∣ :

None

Popular Examples

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y=4cos(1/5 x)+2

y = 4 cos (\frac{1}{5} x) + 2

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