en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

f(x)=2csc(x)

Solution

f (x) = 2 csc (x)

Solution

Period : 2 π

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

Range : f (x) \leq - 2 or f (x) \geq 2

Intercepts : None

Asymptotes : Vertical x = 2 πn, x = π + 2 πn

Extreme Points : Minimum (\frac{π}{2} + 2 πn, 2), Maximum (\frac{3 π}{2} + 2 πn, - 2)

+1

Interval Notation

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

Range : (- \infty, - 2] \cup [2, \infty)

Solution steps

Periodicity of

2 csc (x) : 2 π

Domain of

2 csc (x) : 2 πn < x < π + 2 πn or π + 2 πn < x < 2 π + 2 πn

Range of

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

Axis interception points of

2 csc (x) :

None

Asymptotes of

2 csc (x) :

Vertical

: x = 2 πn, x = π + 2 πn

Extreme Points of

2 csc (x) :

Minimum

(\frac{π}{2} + 2 πn, 2),

Maximum

(\frac{3 π}{2} + 2 πn, - 2)

Popular Examples

f (x) = ∣ 1 - 2 x ∣ + 3

f (x) = e^{x + 3}

f(m)=36+12m^2+m^4

f (m) = 36 + 12 m^{2} + m^{4}

f (x) = x + 11

f (x) = x^{2} - 7 x + 5

Frequently Asked Questions (FAQ)

What is the f(x)=2csc(x) ?
The f(x)=2csc(x) is