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Popular >

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

Solution

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

Solution

Domain : - \infty < x < \infty

Range : - 5 \leq f (x) \leq 5

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

Asymptotes : Horizontal y = - 5

Extreme Points : None

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 5, 5]

Solution steps

Domain of

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

Range of

∣ x - 3 ∣ - 2 ∣ x + 1 ∣ + ∣ x ∣ : - 5 \leq f (x) \leq 5

Axis interception points of

∣ x - 3 ∣ - 2 ∣ x + 1 ∣ + ∣ x ∣ :

X Intercepts

: (\frac{1}{2}, 0),

Y Intercepts

: (0, 1)

Asymptotes of

∣ x - 3 ∣ - 2 ∣ x + 1 ∣ + ∣ x ∣ :

Horizontal

: y = - 5

Extreme Points of

∣ x - 3 ∣ - 2 ∣ x + 1 ∣ + ∣ x ∣ :

None

Popular Examples

f(x)=(x-1)/(x^2+9)

f (x) = \frac{x - 1}{x ^{2} + 9}

f(x)=log_{2}(x-5)

f (x) = lo g_{2} (x - 5)

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

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

f(x)={x+5,x<-2}

f (x) = {x + 5, x < - 2}

y = 2 x^{2} + 18

Frequently Asked Questions (FAQ)

What is the f(x)=|x-3|-2|x+1|+|x| ?
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