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Popular >

f(x)=(sin(6x))^4

Solution

f (x) = (sin (6 x))^{4}

Solution

Period : \frac{π}{6}

Domain : - \infty < x < \infty

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

X Intercepts : (\frac{πn}{6}, 0), Y Intercepts : (0, 0)

Asymptotes : None

Extreme Points : Minimum (\frac{π}{6} n, 0), Maximum (\frac{π}{12} + \frac{π}{6} n, 1)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [0, 1]

Solution steps

Periodicity of

sin^{4} (6 x) : \frac{π}{6}

Domain of

sin^{4} (6 x) : - \infty < x < \infty

Range of

sin^{4} (6 x) : 0 \leq f (x) \leq 1

Axis interception points of

sin^{4} (6 x) :

X Intercepts

: (\frac{πn}{6}, 0),

Y Intercepts

: (0, 0)

Asymptotes of

sin^{4} (6 x) :

None

Extreme Points of

sin^{4} (6 x) :

Minimum

(\frac{π}{6} n, 0),

Maximum

(\frac{π}{12} + \frac{π}{6} n, 1)

Popular Examples

f(x)=(x^3)/(x^3+1)

f (x) = \frac{x ^{3}}{x ^{3} + 1}

C(x)=0.3x^2+4x+225

C (x) = 0.3 x^{2} + 4 x + 225

f(x)=(x-1)/(2x+1)

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

y = x^{2} + 3 x - 16

C (x) = x^{2} + 8 x + 16

Frequently Asked Questions (FAQ)

What is the f(x)=(sin(6x))^4 ?
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