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Popular >

f(x)=2|3x+6|-3|2x-2|

Solution

f (x) = 2 ∣ 3 x + 6 ∣ - 3 ∣ 2 x - 2 ∣

Solution

Domain : - \infty < x < \infty

Range : - 18 \leq f (x) \leq 18

X Intercepts : (- \frac{1}{2}, 0), Y Intercepts : (0, 6)

Asymptotes : Horizontal y = 18

Extreme Points : None

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 18, 18]

Solution steps

Domain of

2 ∣ 3 x + 6 ∣ - 3 ∣ 2 x - 2 ∣ : - \infty < x < \infty

Range of

2 ∣ 3 x + 6 ∣ - 3 ∣ 2 x - 2 ∣ : - 18 \leq f (x) \leq 18

Axis interception points of

2 ∣ 3 x + 6 ∣ - 3 ∣ 2 x - 2 ∣ :

X Intercepts

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

Y Intercepts

: (0, 6)

Asymptotes of

2 ∣ 3 x + 6 ∣ - 3 ∣ 2 x - 2 ∣ :

Horizontal

: y = 18

Extreme Points of

2 ∣ 3 x + 6 ∣ - 3 ∣ 2 x - 2 ∣ :

None

Popular Examples

y = (- 2) 2^{x}

f(x)=x^{(4)}-3x^{(3)}-9x^{(2)}-27x

f (x) = x^{(4)} - 3 x^{(3)} - 9 x^{(2)} - 27 x

f (x) = 64 x^{60}

y = e^{- x + 1}

y=arccos(x)+x/(1-x^2)

y = arccos (x) + \frac{x}{1 - x ^{2}}

Frequently Asked Questions (FAQ)

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