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Popular >

y=-3tan(1/2 x)

Solution

y = - 3 tan (\frac{1}{2} x)

Solution

Period : 2 π

Domain : 2 πn \leq x < π + 2 πn or π + 2 πn < x < 2 π + 2 πn

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

X Intercepts : (2 πn, 0), Y Intercepts : (0, 0)

Asymptotes : Vertical x = π + 2 πn

Extreme Points : None

+1

Interval Notation

Domain : [2 πn, π + 2 πn) \cup (π + 2 πn, 2 π + 2 πn)

Range : (- \infty, \infty)

Solution steps

Periodicity of

- 3 tan (\frac{1}{2} x) : 2 π

Domain of

- 3 tan (\frac{1}{2} x) : 2 πn \leq x < π + 2 πn or π + 2 πn < x < 2 π + 2 πn

Range of

- 3 tan (\frac{1}{2} x) : - \infty < f (x) < \infty

Axis interception points of

- 3 tan (\frac{1}{2} x) :

X Intercepts

: (2 πn, 0),

Y Intercepts

: (0, 0)

Asymptotes of

- 3 tan (\frac{1}{2} x) :

Vertical

: x = π + 2 πn

Extreme Points of

- 3 tan (\frac{1}{2} x) :

None

Popular Examples

f(x)=2x^4+2x^3+x^2-x-1

f (x) = 2 x^{4} + 2 x^{3} + x^{2} - x - 1

f(x)= 2/(x^2-pi)

f (x) = \frac{2}{x ^{2} - π}

f(x)= 3/((x-1))

f (x) = \frac{3}{( x - 1 )}

f(t)=sqrt(t^3+1)

f (t) = t^{3} + 1

f (x) = \frac{3}{5 x + 2}

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