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Popular Functions >

f(x)=|3x+6|-3|-x+7|

Solution

f (x) = ∣ 3 x + 6 ∣ - 3 ∣ - x + 7 ∣

Solution

Domain : - \infty < x < \infty

Range : - 27 \leq f (x) \leq 27

X Intercepts : (\frac{5}{2}, 0), Y Intercepts : (0, - 15)

Asymptotes : Horizontal y = 27

Extreme Points : None

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 27, 27]

Solution steps

Domain of

∣ 3 x + 6 ∣ - 3 ∣ - x + 7 ∣ : - \infty < x < \infty

Range of

∣ 3 x + 6 ∣ - 3 ∣ - x + 7 ∣ : - 27 \leq f (x) \leq 27

Axis interception points of

∣ 3 x + 6 ∣ - 3 ∣ - x + 7 ∣ :

X Intercepts

: (\frac{5}{2}, 0),

Y Intercepts

: (0, - 15)

Asymptotes of

∣ 3 x + 6 ∣ - 3 ∣ - x + 7 ∣ :

Horizontal

: y = 27

Extreme Points of

∣ 3 x + 6 ∣ - 3 ∣ - x + 7 ∣ :

None

Graph

Popular Examples

f(s)=(20)/(((s+3)(s^2+8s+25)))

f(x)=12.64-54.3x+50.3x^2

f(x)=2x^3+5x^2-4x-6x+7

Frequently Asked Questions (FAQ)

What is the f(x)=|3x+6|-3|-x+7| ?
The f(x)=|3x+6|-3|-x+7| is