What is the f(x)=((4sin^4(x)))/((1+cos^4(x))) ?

The f(x)=((4sin^4(x)))/((1+cos^4(x))) is

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f(x)=((4sin^4(x)))/((1+cos^4(x)))

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

Period : π

Domain : - \infty < x < \infty

Range : 0 \leq f (x) \leq 4

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

Asymptotes : None

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

Interval Notation

Domain : (- \infty, \infty)

Range : [0, 4]

Solution steps

Periodicity of

\frac{4 sin ^{4} ( x )}{1 + cos ^{4} ( x )} : π

Domain of

\frac{4 sin ^{4} ( x )}{1 + cos ^{4} ( x )} : - \infty < x < \infty

Range of

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

Axis interception points of

\frac{4 sin ^{4} ( x )}{1 + cos ^{4} ( x )} :

X Intercepts

: (πn, 0),

Y Intercepts

: (0, 0)

Asymptotes of

\frac{4 sin ^{4} ( x )}{1 + cos ^{4} ( x )} :

None

Extreme Points of

\frac{4 sin ^{4} ( x )}{1 + cos ^{4} ( x )} :

Minimum

(πn, 0),

Maximum

(\frac{π}{2} + πn, 4)

f (t) = \frac{sin ^{3} ( t )}{t}

f (x) = (3 x + 5)^{2}

f (x) = 3 x^{4} - 4 x^{3} - 3 x - 1

y = 2 (5 x - 3 + 9 - 2 x)^{2} - 2

f (x) = \frac{4}{( 9 + 7 x ) ^{5}}

What is the f(x)=((4sin^4(x)))/((1+cos^4(x))) ?
The f(x)=((4sin^4(x)))/((1+cos^4(x))) is