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Popular >

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

Solution

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

Solution

Period : \frac{π}{2}

Domain : - \infty < x < \infty

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

X Intercepts : (\frac{πn}{2}, 0), Y Intercepts : (0, 0)

Asymptotes : None

Extreme Points : Minimum (\frac{π}{2} n, 0), Maximum (\frac{π}{4} + \frac{π}{2} n, 1)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [0, 1]

Solution steps

Periodicity of

sin^{2} (2 x) : \frac{π}{2}

Domain of

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

Range of

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

Axis interception points of

sin^{2} (2 x) :

X Intercepts

: (\frac{πn}{2}, 0),

Y Intercepts

: (0, 0)

Asymptotes of

sin^{2} (2 x) :

None

Extreme Points of

sin^{2} (2 x) :

Minimum

(\frac{π}{2} n, 0),

Maximum

(\frac{π}{4} + \frac{π}{2} n, 1)

Popular Examples

range of f(x)=sqrt(x)-4 range

f (x) = x - 4

inverse of f(x)=6-5x^2 inverse

f (x) = 6 - 5 x^{2}

critical xsqrt(4-x^2)critical points

x 4 - x^{2}

extreme f(x)=(t^2-36)^{1/3}extreme points

f (x) = (t^{2} - 36)^{\frac{1}{3}}

asymptotes of 7/((x-4)^3)asymptotes

\frac{7}{( x - 4 ) ^{3}}

Frequently Asked Questions (FAQ)

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