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Popular >

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)

Popular Examples

slope of y=-3/4 x+2 slope

y = - \frac{3}{4} x + 2

y = sin (x)

domain of f(x)= 1/(x^2+2)domain

f (x) = \frac{1}{x ^{2} + 2}

intercepts of f(x)=-2(x-2)^2+7 intercepts

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

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

\frac{3 x + 4}{10 x - 12}

Frequently Asked Questions (FAQ)

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