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Popular >

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

Solution

f (x) = ∣ x + 2 ∣ - ∣ x - 1 ∣ + ∣ x - 4 ∣

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq 3

Y Intercepts : (0, 5)

Asymptotes : Slant y = x - 1

Extreme Points : Minimum (- 2, 3), Maximum (1, 6), Minimum (4, 3)

+1

Solution steps

Domain of

∣ x + 2 ∣ - ∣ x - 1 ∣ + ∣ x - 4 ∣ : - \infty < x < \infty

Range of

∣ x + 2 ∣ - ∣ x - 1 ∣ + ∣ x - 4 ∣ : f (x) \geq 3

Axis interception points of

∣ x + 2 ∣ - ∣ x - 1 ∣ + ∣ x - 4 ∣ :

Y Intercepts

: (0, 5)

Asymptotes of

∣ x + 2 ∣ - ∣ x - 1 ∣ + ∣ x - 4 ∣ :

Slant

: y = x - 1

Extreme Points of

∣ x + 2 ∣ - ∣ x - 1 ∣ + ∣ x - 4 ∣ :

Minimum

(- 2, 3),

Maximum

(1, 6),

Minimum

(4, 3)

Popular Examples

f(x)=(5-3x)/(2x-3)

f (x) = \frac{5 - 3 x}{2 x - 3}

p (x) = 400 - 2 x

f(x)=arctan(x)dx

f (x) = arctan (x) d x

f (x) = (4 - x^{2})

f(x)=(3-2x)/(x-5)

f (x) = \frac{3 - 2 x}{x - 5}

Frequently Asked Questions (FAQ)

What is the f(x)=|x+2|-|x-1|+|x-4| ?
The f(x)=|x+2|-|x-1|+|x-4| is