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Popular Calculus >

f(x)=tan(5x)

Solution

f (x) = 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

Range : (- \infty, \infty)

Solution steps

Periodicity of

tan (5 x) : \frac{π}{5}

Domain of

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

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

Axis interception points of

tan (5 x) :

X Intercepts

: (\frac{πn}{5}, 0),

Y Intercepts

: (0, 0)

Asymptotes of

tan (5 x) :

Vertical

: x = \frac{π}{10} + \frac{π}{5} n

Extreme Points of

tan (5 x) :

None

Graph

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Frequently Asked Questions (FAQ)

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