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Popular >

f(x)=sin^3(4x)

Solution

f (x) = sin^{3} (4 x)

Solution

Period : \frac{π}{2}

Domain : - \infty < x < \infty

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

X Intercepts : (\frac{πn}{2}, 0), (\frac{π}{4} + \frac{πn}{2}, 0), Y Intercepts : (0, 0)

Asymptotes : None

Extreme Points : Minimum (\frac{π}{2} n, 0), Maximum (\frac{π}{8} + \frac{π}{2} n, 1), Saddle (\frac{π}{4} + \frac{π}{2} n, 0), Minimum (\frac{3 π}{8} + \frac{π}{2} n, - 1)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 1, 1]

Solution steps

Periodicity of

sin^{3} (4 x) : \frac{π}{2}

Domain of

sin^{3} (4 x) : - \infty < x < \infty

Range of

sin^{3} (4 x) : - 1 \leq f (x) \leq 1

Axis interception points of

sin^{3} (4 x) :

X Intercepts

: (\frac{πn}{2}, 0), (\frac{π}{4} + \frac{πn}{2}, 0),

Y Intercepts

: (0, 0)

Asymptotes of

sin^{3} (4 x) :

None

Extreme Points of

sin^{3} (4 x) :

Minimum

(\frac{π}{2} n, 0),

Maximum

(\frac{π}{8} + \frac{π}{2} n, 1),

Saddle

(\frac{π}{4} + \frac{π}{2} n, 0),

Minimum

(\frac{3 π}{8} + \frac{π}{2} n, - 1)

Popular Examples

f (x) = \frac{1}{4} x

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f(x)=(x+2)/(x^2-x-6)

f (x) = \frac{x + 2}{x ^{2} - x - 6}

domain of f(x)=ln(x+1)+e^{x^2-3}+(x^2-4)^{5/3}domain

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f (θ) = cot (3 θ)

Frequently Asked Questions (FAQ)

What is the f(x)=sin^3(4x) ?
The f(x)=sin^3(4x) is