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Popular >

f(x)=2-sin(x/3)

Solution

f (x) = 2 - sin (\frac{x}{3})

Solution

Period : 6 π

Domain : - \infty < x < \infty

Range : 1 \leq f (x) \leq 3

Y Intercepts : (0, 2)

Asymptotes : None

Extreme Points : Minimum (\frac{3 π}{2} + 6 πn, 1), Maximum (\frac{9 π}{2} + 6 πn, 3)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [1, 3]

Solution steps

Periodicity of

2 - sin (\frac{x}{3}) : 6 π

Domain of

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

Range of

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

Axis interception points of

2 - sin (\frac{x}{3}) :

Y Intercepts

: (0, 2)

Asymptotes of

2 - sin (\frac{x}{3}) :

None

Extreme Points of

2 - sin (\frac{x}{3}) :

Minimum

(\frac{3 π}{2} + 6 πn, 1),

Maximum

(\frac{9 π}{2} + 6 πn, 3)

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Frequently Asked Questions (FAQ)

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