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Popular >

y=-3tan(3x)

Solution

y = - 3 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

- 3 tan (3 x) : \frac{π}{3}

Domain of

- 3 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

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

Axis interception points of

- 3 tan (3 x) :

X Intercepts

: (\frac{πn}{3}, 0),

Y Intercepts

: (0, 0)

Asymptotes of

- 3 tan (3 x) :

Vertical

: x = \frac{π}{6} + \frac{π}{3} n

Extreme Points of

- 3 tan (3 x) :

None

Popular Examples

h(x)=-2x^2+12x-17

h (x) = - 2 x^{2} + 12 x - 17

f(t)=(2t)/(1+t^2)

f (t) = \frac{2 t}{1 + t ^{2}}

y = (\frac{x}{x + 1})^{2}

y = x^{3} + 2 x + 5

g (x) = x^{2} + 2 x + 2

Frequently Asked Questions (FAQ)

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