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Popular >

F(x)=|x-4|-3|x+1|+2|x|-x+2

Solution

F (x) = ∣ x - 4 ∣ - 3 ∣ x + 1 ∣ + 2 ∣ x ∣ - x + 2

Solution

Domain : - \infty < x < \infty

Range : - \infty < f (x) < \infty

X Intercepts : (1, 0), Y Intercepts : (0, 3)

Asymptotes : Slant y = - x - 5

Extreme Points : None

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

∣ x - 4 ∣ - 3 ∣ x + 1 ∣ + 2 ∣ x ∣ - x + 2 : - \infty < x < \infty

Range of

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

Axis interception points of

∣ x - 4 ∣ - 3 ∣ x + 1 ∣ + 2 ∣ x ∣ - x + 2 :

X Intercepts

: (1, 0),

Y Intercepts

: (0, 3)

Asymptotes of

∣ x - 4 ∣ - 3 ∣ x + 1 ∣ + 2 ∣ x ∣ - x + 2 :

Slant

: y = - x - 5

Extreme Points of

∣ x - 4 ∣ - 3 ∣ x + 1 ∣ + 2 ∣ x ∣ - x + 2 :

None

Popular Examples

f (x) = 5 - (2 x + 5)

F (x) = 3 x - 7

f(x)=(-2(x-3)(x+1))/((x+1)(x-2))

f (x) = \frac{- 2 ( x - 3 ) ( x + 1 )}{( x + 1 ) ( x - 2 )}

y = x^{2} - 4 x - 9

f(x)=-2/(x^3)+3/(x^2)-4x

f (x) = - \frac{2}{x ^{3}} + \frac{3}{x ^{2}} - 4 x

Frequently Asked Questions (FAQ)

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