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Popular >

f(θ)=3sin(2θ)+4

Solution

f (θ) = 3 sin (2 θ) + 4

Solution

Period : π

Domain : - \infty < θ < \infty

Range : 1 \leq f (θ) \leq 7

Y Intercepts : (0, 4)

Asymptotes : None

Extreme Points : Maximum (\frac{π}{4} + πn, 7), Minimum (\frac{3 π}{4} + πn, 1)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [1, 7]

Solution steps

Periodicity of

3 sin (2 θ) + 4 : π

Domain of

3 sin (2 θ) + 4 : - \infty < θ < \infty

Range of

3 sin (2 θ) + 4 : 1 \leq f (θ) \leq 7

Axis interception points of

3 sin (2 θ) + 4 :

Y Intercepts

: (0, 4)

Asymptotes of

3 sin (2 θ) + 4 :

None

Extreme Points of

3 sin (2 θ) + 4 :

Maximum

(\frac{π}{4} + πn, 7),

Minimum

(\frac{3 π}{4} + πn, 1)

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Frequently Asked Questions (FAQ)

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