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Popular >

f(x)=tan(9x+9)

Solution

f (x) = tan (9 x + 9)

Solution

Period : \frac{π}{9}

Domain : \frac{π}{9} n \leq x < \frac{7 π - 18}{18} + \frac{π}{9} n or \frac{7 π - 18}{18} + \frac{π}{9} n < x < \frac{π}{9} + \frac{π}{9} n

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

X Intercepts : (- 1 + \frac{π}{3} + \frac{πn}{9}, 0), Y Intercepts : (0, tan (9))

Asymptotes : Vertical x = \frac{7 π - 18}{18} + \frac{π}{9} n

Extreme Points : None

+1

Interval Notation

Domain : [\frac{π}{9} n, \frac{7 π - 18}{18} + \frac{π}{9} n) \cup (\frac{7 π - 18}{18} + \frac{π}{9} n, \frac{π}{9} + \frac{π}{9} n)

Range : (- \infty, \infty)

Solution steps

Periodicity of

tan (9 x + 9) : \frac{π}{9}

Domain of

tan (9 x + 9) : \frac{π}{9} n \leq x < \frac{7 π - 18}{18} + \frac{π}{9} n or \frac{7 π - 18}{18} + \frac{π}{9} n < x < \frac{π}{9} + \frac{π}{9} n

Range of

tan (9 x + 9) : - \infty < f (x) < \infty

Axis interception points of

tan (9 x + 9) :

X Intercepts

: (- 1 + \frac{π}{3} + \frac{πn}{9}, 0),

Y Intercepts

: (0, tan (9))

Asymptotes of

tan (9 x + 9) :

Vertical

: x = \frac{7 π - 18}{18} + \frac{π}{9} n

Extreme Points of

tan (9 x + 9) :

None

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Frequently Asked Questions (FAQ)

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