en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

f(x)=sin^3(x)

Solution

f (x) = sin^{3} (x)

Solution

Period : 2 π

Domain : - \infty < x < \infty

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

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

Asymptotes : None

Extreme Points : Minimum (2 πn, 0), Maximum (\frac{π}{2} + 2 πn, 1), Saddle (π + 2 πn, 0), Minimum (\frac{3 π}{2} + 2 πn, - 1)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 1, 1]

Solution steps

Periodicity of

sin^{3} (x) : 2 π

Domain of

sin^{3} (x) : - \infty < x < \infty

Range of

sin^{3} (x) : - 1 \leq f (x) \leq 1

Axis interception points of

sin^{3} (x) :

X Intercepts

: (2 πn, 0), (π + 2 πn, 0),

Y Intercepts

: (0, 0)

Asymptotes of

sin^{3} (x) :

None

Extreme Points of

sin^{3} (x) :

Minimum

(2 πn, 0),

Maximum

(\frac{π}{2} + 2 πn, 1),

Saddle

(π + 2 πn, 0),

Minimum

(\frac{3 π}{2} + 2 πn, - 1)

Popular Examples

domain of x/(3x-1)domain

\frac{x}{3 x - 1}

extreme f(x)=(x-4)(x-7)extreme points

f (x) = (x - 4) (x - 7)

shift f(x)=cos(2(x-pi))shift

f (x) = cos (2 (x - π))

domain of \sqrt[3]{x-2}+1 domain

inverse of f(x)=(x+2)/(x-7)inverse

f (x) = \frac{x + 2}{x - 7}

Frequently Asked Questions (FAQ)

What is the f(x)=sin^3(x) ?
The f(x)=sin^3(x) is