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Popular >

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

Solution

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

Solution

Period : 2 π

Domain : - \infty < x < \infty

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

X Intercepts : (2 πn, 0), (π + 2 πn, 0), Y Intercepts : (0, 0)

Asymptotes : None

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

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 4, 4]

Solution steps

Periodicity of

4 sin^{3} (x) : 2 π

Domain of

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

Range of

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

Axis interception points of

4 sin^{3} (x) :

X Intercepts

: (2 πn, 0), (π + 2 πn, 0),

Y Intercepts

: (0, 0)

Asymptotes of

4 sin^{3} (x) :

None

Extreme Points of

4 sin^{3} (x) :

Minimum

(2 πn, 0),

Maximum

(\frac{π}{2} + 2 πn, 4),

Saddle

(π + 2 πn, 0),

Minimum

(\frac{3 π}{2} + 2 πn, - 4)

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Frequently Asked Questions (FAQ)

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