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Popular Functions >

f(x)=sin^4(x)

Solution

f (x) = sin^{4} (x)

Solution

Period : π

Domain : - \infty < x < \infty

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

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

Asymptotes : None

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

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [0, 1]

Solution steps

Periodicity of

sin^{4} (x) : π

Domain of

sin^{4} (x) : - \infty < x < \infty

Range of

sin^{4} (x) : 0 \leq f (x) \leq 1

Axis interception points of

sin^{4} (x) :

X Intercepts

: (πn, 0),

Y Intercepts

: (0, 0)

Asymptotes of

sin^{4} (x) :

None

Extreme Points of

sin^{4} (x) :

Minimum

(πn, 0),

Maximum

(\frac{π}{2} + πn, 1)

Graph

Popular Examples

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midpoint (-2,-4),(2,-10)

parity f(x)=sin(x)cos(x)

Frequently Asked Questions (FAQ)

What is the f(x)=sin^4(x) ?
The f(x)=sin^4(x) is