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Popular >

f(θ)=2+sin(θ)

Solution

f (θ) = 2 + sin (θ)

Solution

Period : 2 π

Domain : - \infty < θ < \infty

Range : 1 \leq f (θ) \leq 3

Y Intercepts : (0, 2)

Asymptotes : None

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

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Interval Notation

Domain : (- \infty, \infty)

Range : [1, 3]

Solution steps

Periodicity of

2 + sin (θ) : 2 π

Domain of

2 + sin (θ) : - \infty < θ < \infty

Range of

2 + sin (θ) : 1 \leq f (θ) \leq 3

Axis interception points of

2 + sin (θ) :

Y Intercepts

: (0, 2)

Asymptotes of

2 + sin (θ) :

None

Extreme Points of

2 + sin (θ) :

Maximum

(\frac{π}{2} + 2 πn, 3),

Minimum

(\frac{3 π}{2} + 2 πn, 1)

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

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f (n) = 4 n^{2} - 25

Frequently Asked Questions (FAQ)

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