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Popular >

f(θ)=3sin^2(θ)

Solution

f (θ) = 3 sin^{2} (θ)

Solution

Period : π

Domain : - \infty < θ < \infty

Range : 0 \leq f (θ) \leq 3

X Intercepts : (πn, 0), Y Intercepts : (0, 0)

Asymptotes : None

Extreme Points : Minimum (πn, 0), Maximum (\frac{π}{2} + πn, 3)

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Interval Notation

Domain : (- \infty, \infty)

Range : [0, 3]

Solution steps

Periodicity of

3 sin^{2} (θ) : π

Domain of

3 sin^{2} (θ) : - \infty < θ < \infty

Range of

3 sin^{2} (θ) : 0 \leq f (θ) \leq 3

Axis interception points of

3 sin^{2} (θ) :

X Intercepts

: (πn, 0),

Y Intercepts

: (0, 0)

Asymptotes of

3 sin^{2} (θ) :

None

Extreme Points of

3 sin^{2} (θ) :

Minimum

(πn, 0),

Maximum

(\frac{π}{2} + πn, 3)

Popular Examples

f (x) = 3 x^{2} + 2 x - 9

f(x)=a+arctan(2x+pi)

f (x) = a + arctan (2 x + π)

g (x) = - x^{2} + 2 x

f(m)=(log_{5}(m))/(log_{15)(m)}

f (m) = \frac{lo g _{5} ( m )}{lo g _{15} ( m )}

f(x)=(x^2)/(x^4+1)

f (x) = \frac{x ^{2}}{x ^{4} + 1}

Frequently Asked Questions (FAQ)

What is the f(θ)=3sin^2(θ) ?
The f(θ)=3sin^2(θ) is