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Popular >

f(x)=|sin(x/2)|

Solution

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

Solution

Period : 2 π

Domain : - \infty < x < \infty

Range : 0 \leq f (x) \leq 1

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

Asymptotes : None

Extreme Points : Maximum (π + 4 πn, 1), Minimum (2 π + 4 πn, 0), Maximum (3 π + 4 πn, 1)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [0, 1]

Solution steps

Periodicity of

sin (\frac{x}{2}) : 2 π

Domain of

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

Range of

sin (\frac{x}{2}) : 0 \leq f (x) \leq 1

Axis interception points of

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

X Intercepts

: (2 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

(2 π + 4 πn, 0),

Maximum

(3 π + 4 πn, 1)

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Frequently Asked Questions (FAQ)

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