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Popular >

f(x)=sin^2(3x)

Solution

f (x) = sin^{2} (3 x)

Solution

Period : \frac{π}{3}

Domain : - \infty < x < \infty

Range : 0 \leq f (x) \leq 1

X Intercepts : (\frac{πn}{3}, 0), Y Intercepts : (0, 0)

Asymptotes : None

Extreme Points : Minimum (\frac{π}{3} n, 0), Maximum (\frac{π}{6} + \frac{π}{3} n, 1)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [0, 1]

Solution steps

Periodicity of

sin^{2} (3 x) : \frac{π}{3}

Domain of

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

Range of

sin^{2} (3 x) : 0 \leq f (x) \leq 1

Axis interception points of

sin^{2} (3 x) :

X Intercepts

: (\frac{πn}{3}, 0),

Y Intercepts

: (0, 0)

Asymptotes of

sin^{2} (3 x) :

None

Extreme Points of

sin^{2} (3 x) :

Minimum

(\frac{π}{3} n, 0),

Maximum

(\frac{π}{6} + \frac{π}{3} n, 1)

Popular Examples

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derivative of 10sqrt(100x-x^2)

\frac{d}{d x} (10 100 x - x^{2})

e^{kt}((dy)/(dt)+ky)=0

e^{k t} (\frac{d y}{d t} + k y) = 0

f (r) = 6 e^{r}

Frequently Asked Questions (FAQ)

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