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Popular >

f(x)=5tan(5x)

Solution

f (x) = 5 tan (5 x)

Solution

Period : \frac{π}{5}

Domain : \frac{π}{5} n \leq x < \frac{π}{10} + \frac{π}{5} n or \frac{π}{10} + \frac{π}{5} n < x < \frac{π}{5} + \frac{π}{5} n

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

X Intercepts : (\frac{πn}{5}, 0), Y Intercepts : (0, 0)

Asymptotes : Vertical x = \frac{π}{10} + \frac{π}{5} n

Extreme Points : None

+1

Interval Notation

Domain : [\frac{π}{5} n, \frac{π}{10} + \frac{π}{5} n) \cup (\frac{π}{10} + \frac{π}{5} n, \frac{π}{5} + \frac{π}{5} n)

Range : (- \infty, \infty)

Solution steps

Periodicity of

5 tan (5 x) : \frac{π}{5}

Domain of

5 tan (5 x) : \frac{π}{5} n \leq x < \frac{π}{10} + \frac{π}{5} n or \frac{π}{10} + \frac{π}{5} n < x < \frac{π}{5} + \frac{π}{5} n

Range of

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

Axis interception points of

5 tan (5 x) :

X Intercepts

: (\frac{πn}{5}, 0),

Y Intercepts

: (0, 0)

Asymptotes of

5 tan (5 x) :

Vertical

: x = \frac{π}{10} + \frac{π}{5} n

Extreme Points of

5 tan (5 x) :

None

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Frequently Asked Questions (FAQ)

What is the f(x)=5tan(5x) ?
The f(x)=5tan(5x) is