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Popular >

f(x)=2| x/(x^2-4)|

Solution

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

Solution

Domain : x < - 2 or - 2 < x < 2 or x > 2

Range : f (x) \geq 0

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

Asymptotes : Vertical x = - 2, x = 2, Horizontal y = 0

Extreme Points : Minimum (0, 0)

+1

Interval Notation

Domain : (- \infty, - 2) \cup (- 2, 2) \cup (2, \infty)

Range : [0, \infty)

Solution steps

Domain of

2 \frac{x}{x ^{2} - 4} : x < - 2 or - 2 < x < 2 or x > 2

Range of

2 \frac{x}{x ^{2} - 4} : f (x) \geq 0

Axis interception points of

2 \frac{x}{x ^{2} - 4} :

X Intercepts

: (0, 0),

Y Intercepts

: (0, 0)

Asymptotes of

2 \frac{x}{x ^{2} - 4} :

Vertical

: x = - 2, x = 2,

Horizontal

: y = 0

Extreme Points of

2 \frac{x}{x ^{2} - 4} :

Minimum

(0, 0)

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f (x) = cos (3 x + 2 π) + 3

Frequently Asked Questions (FAQ)

What is the f(x)=2| x/(x^2-4)| ?
The f(x)=2| x/(x^2-4)| is