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Popular >

f(x)=5tan(3x)

Solution

f (x) = 5 tan (3 x)

Solution

Period : \frac{π}{3}

Domain : \frac{π}{3} n \leq x < \frac{π}{6} + \frac{π}{3} n or \frac{π}{6} + \frac{π}{3} n < x < \frac{π}{3} + \frac{π}{3} n

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

X Intercepts : (\frac{πn}{3}, 0), Y Intercepts : (0, 0)

Asymptotes : Vertical x = \frac{π}{6} + \frac{π}{3} n

Extreme Points : None

+1

Interval Notation

Domain : [\frac{π}{3} n, \frac{π}{6} + \frac{π}{3} n) \cup (\frac{π}{6} + \frac{π}{3} n, \frac{π}{3} + \frac{π}{3} n)

Range : (- \infty, \infty)

Solution steps

Periodicity of

5 tan (3 x) : \frac{π}{3}

Domain of

5 tan (3 x) : \frac{π}{3} n \leq x < \frac{π}{6} + \frac{π}{3} n or \frac{π}{6} + \frac{π}{3} n < x < \frac{π}{3} + \frac{π}{3} n

Range of

5 tan (3 x) : - \infty < f (x) < \infty

Axis interception points of

5 tan (3 x) :

X Intercepts

: (\frac{πn}{3}, 0),

Y Intercepts

: (0, 0)

Asymptotes of

5 tan (3 x) :

Vertical

: x = \frac{π}{6} + \frac{π}{3} n

Extreme Points of

5 tan (3 x) :

None

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Frequently Asked Questions (FAQ)

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