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Popular >

f(x)=tan(6x-4)

Solution

f (x) = tan (6 x - 4)

Solution

Period : \frac{π}{6}

Domain : \frac{π}{6} n \leq x < \frac{8 - π}{12} + \frac{π}{6} n or \frac{8 - π}{12} + \frac{π}{6} n < x < \frac{π}{6} + \frac{π}{6} n

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

X Intercepts : (\frac{2}{3} - \frac{π}{6} + \frac{πn}{6}, 0), Y Intercepts : (0, tan (- 4))

Asymptotes : Vertical x = \frac{8 - π}{12} + \frac{π}{6} n

Extreme Points : None

+1

Interval Notation

Domain : [\frac{π}{6} n, \frac{8 - π}{12} + \frac{π}{6} n) \cup (\frac{8 - π}{12} + \frac{π}{6} n, \frac{π}{6} + \frac{π}{6} n)

Range : (- \infty, \infty)

Solution steps

Periodicity of

tan (6 x - 4) : \frac{π}{6}

Domain of

tan (6 x - 4) : \frac{π}{6} n \leq x < \frac{8 - π}{12} + \frac{π}{6} n or \frac{8 - π}{12} + \frac{π}{6} n < x < \frac{π}{6} + \frac{π}{6} n

Range of

tan (6 x - 4) : - \infty < f (x) < \infty

Axis interception points of

tan (6 x - 4) :

X Intercepts

: (\frac{2}{3} - \frac{π}{6} + \frac{πn}{6}, 0),

Y Intercepts

: (0, tan (- 4))

Asymptotes of

tan (6 x - 4) :

Vertical

: x = \frac{8 - π}{12} + \frac{π}{6} n

Extreme Points of

tan (6 x - 4) :

None

Popular Examples

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Frequently Asked Questions (FAQ)

What is the f(x)=tan(6x-4) ?
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