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Popular Functions >

y=-csc(2x)

Solution

y = - csc (2 x)

Solution

Period : π

Domain : πn < x < \frac{π}{2} + πn or \frac{π}{2} + πn < x < π + πn

Range : f (x) \leq - 1 or f (x) \geq 1

Intercepts : None

Asymptotes : Vertical x = \frac{π}{2} + πn, x = πn

Extreme Points : Maximum (\frac{π}{4} + πn, - 1), Minimum (\frac{3 π}{4} + πn, 1)

+1

Interval Notation

Domain : (πn, \frac{π}{2} + πn) \cup (\frac{π}{2} + πn, π + πn)

Range : (- \infty, - 1] \cup [1, \infty)

Solution steps

Periodicity of

- csc (2 x) : π

Domain of

- csc (2 x) : πn < x < \frac{π}{2} + πn or \frac{π}{2} + πn < x < π + πn

Range of

- csc (2 x) : f (x) \leq - 1 or f (x) \geq 1

Axis interception points of

- csc (2 x) :

None

Asymptotes of

- csc (2 x) :

Vertical

: x = \frac{π}{2} + πn, x = πn

Extreme Points of

- csc (2 x) :

Maximum

(\frac{π}{4} + πn, - 1),

Minimum

(\frac{3 π}{4} + πn, 1)

Graph

Popular Examples

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f(x)=(x^2)/(e^{2x)}

Frequently Asked Questions (FAQ)

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