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Popular Functions >

f(x)=log_{3}(|x|)

Solution

f (x) = lo g_{3} (∣ x ∣)

Solution

Domain : x < 0 or x > 0

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

X Intercepts : (- 1, 0), (1, 0)

Asymptotes : Vertical x = 0

Extreme Points : None

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Interval Notation

Domain : (- \infty, 0) \cup (0, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

lo g_{3} (∣ x ∣) : x < 0 or x > 0

Range of

lo g_{3} (∣ x ∣) : - \infty < f (x) < \infty

Axis interception points of

lo g_{3} (∣ x ∣) :

X Intercepts

: (- 1, 0), (1, 0)

Asymptotes of

lo g_{3} (∣ x ∣) :

Vertical

: x = 0

Extreme Points of

lo g_{3} (∣ x ∣) :

None

Graph

Popular Examples

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

f(t)= 3/8+1/8 cos(4t)+1/2 cos(2t)

Frequently Asked Questions (FAQ)

What is the f(x)=log_{3}(|x|) ?
The f(x)=log_{3}(|x|) is