en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Functions >

f(x)=sin(x/2)

Solution

f (x) = sin (\frac{x}{2})

Solution

Period : 4 π

Domain : - \infty < x < \infty

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

X Intercepts : (4 πn, 0), (2 π + 4 πn, 0), Y Intercepts : (0, 0)

Asymptotes : None

Extreme Points : Maximum (π + 4 πn, 1), Minimum (3 π + 4 πn, - 1)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 1, 1]

Solution steps

Periodicity of

sin (\frac{x}{2}) : 4 π

Domain of

sin (\frac{x}{2}) : - \infty < x < \infty

Range of

sin (\frac{x}{2}) : - 1 \leq f (x) \leq 1

Axis interception points of

sin (\frac{x}{2}) :

X Intercepts

: (4 πn, 0), (2 π + 4 πn, 0),

Y Intercepts

: (0, 0)

Asymptotes of

sin (\frac{x}{2}) :

None

Extreme Points of

sin (\frac{x}{2}) :

Maximum

(π + 4 πn, 1),

Minimum

(3 π + 4 πn, - 1)

Graph

Popular Examples

inverse of (3x+4)/(10x-12)

range of f(x)= 2/(x^2-16)

range of sin(2x)

inverse of 18500(0.09-x^2)

Frequently Asked Questions (FAQ)

What is the f(x)=sin(x/2) ?
The f(x)=sin(x/2) is