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Popular >

f(x)=sin(x/2),0<= x<= 4pi

Solution

f (x) = sin (\frac{x}{2}), 0 \leq x \leq 4 π

Solution

Period : 4 π

Domain : 0 \leq x \leq 4 π

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

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

Asymptotes : None

Extreme Points : Minimum (0, 0), Maximum (π, 1), Minimum (3 π, - 1), Maximum (4 π, 0)

+1

Interval Notation

Domain : [0, 4 π]

Range : [- 1, 1]

Solution steps

Periodicity of

sin (\frac{x}{2}) : 4 π

Domain of

sin (\frac{x}{2}), 0 \leq x \leq 4 π : 0 \leq x \leq 4 π

Range of

sin (\frac{x}{2}), 0 \leq x \leq 4 π : - 1 \leq f (x) \leq 1

Axis interception points of

sin (\frac{x}{2}), 0 \leq x \leq 4 π :

X Intercepts

: (0, 0), (2 π, 0), (4 π, 0),

Y Intercepts

: (0, 0)

Asymptotes of

sin (\frac{x}{2}), 0 \leq x \leq 4 π :

None

Extreme Points of

sin (\frac{x}{2}), 0 \leq x \leq 4 π :

Minimum

(0, 0),

Maximum

(π, 1),

Minimum

(3 π, - 1),

Maximum

(4 π, 0)

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Frequently Asked Questions (FAQ)

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