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Popular Functions >

f(x)=sin^3(5x)

Solution

f (x) = sin^{3} (5 x)

Solution

Period : \frac{2 π}{5}

Domain : - \infty < x < \infty

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

X Intercepts : (\frac{2 πn}{5}, 0), (\frac{π}{5} + \frac{2 πn}{5}, 0), Y Intercepts : (0, 0)

Asymptotes : None

Extreme Points : Minimum (\frac{2 π}{5} n, 0), Maximum (\frac{π}{10} + \frac{2 π}{5} n, 1), Saddle (\frac{π}{5} + \frac{2 π}{5} n, 0), Minimum (\frac{3 π}{10} + \frac{2 π}{5} n, - 1)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 1, 1]

Solution steps

Periodicity of

sin^{3} (5 x) : \frac{2 π}{5}

Domain of

sin^{3} (5 x) : - \infty < x < \infty

Range of

sin^{3} (5 x) : - 1 \leq f (x) \leq 1

Axis interception points of

sin^{3} (5 x) :

X Intercepts

: (\frac{2 πn}{5}, 0), (\frac{π}{5} + \frac{2 πn}{5}, 0),

Y Intercepts

: (0, 0)

Asymptotes of

sin^{3} (5 x) :

None

Extreme Points of

sin^{3} (5 x) :

Minimum

(\frac{2 π}{5} n, 0),

Maximum

(\frac{π}{10} + \frac{2 π}{5} n, 1),

Saddle

(\frac{π}{5} + \frac{2 π}{5} n, 0),

Minimum

(\frac{3 π}{10} + \frac{2 π}{5} n, - 1)

Graph

Popular Examples

f(x)=(sin(x)+tan(x))/(1+sec(x))

f(x)=log_{10}(ln(x))

f(x)=e^{4/(x^3)+1/(x^5)}

Frequently Asked Questions (FAQ)

What is the f(x)=sin^3(5x) ?
The f(x)=sin^3(5x) is