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Popular Functions >

y=sqrt(1-sin^3(x))

Solution

y = 1 - sin^{3} (x)

Solution

Domain : True for all x \in R

X Intercepts : (\frac{π}{2} + 2 πn, 0), Y Intercepts : (0, 1)

Asymptotes : None

Extreme Points : Minimum (2 πn, 1 - sin^{3} (2 πn)), Saddle (π + 2 πn, 1 - sin^{3} (π + 2 πn)), Maximum (\frac{3 π}{2} + 2 πn, 1 - sin^{3} (\frac{3 π}{2} + 2 πn))

+1

Interval Notation

Domain : (- \infty, \infty)

Solution steps

Domain of

1 - sin^{3} (x) :

True for all

x \in R

Axis interception points of

1 - sin^{3} (x) :

X Intercepts

: (\frac{π}{2} + 2 πn, 0),

Y Intercepts

: (0, 1)

Asymptotes of

1 - sin^{3} (x) :

None

Extreme Points of

1 - sin^{3} (x) :

Minimum

(2 πn, 1 - sin^{3} (2 πn)),

Saddle

(π + 2 πn, 1 - sin^{3} (π + 2 πn)),

Maximum

(\frac{3 π}{2} + 2 πn, 1 - sin^{3} (\frac{3 π}{2} + 2 πn))

Graph

Popular Examples

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f(x)=4x^3+6x^2+1

y=(3x-1)^2+(x-2)^2-25

Frequently Asked Questions (FAQ)

What is the y=sqrt(1-sin^3(x)) ?
The y=sqrt(1-sin^3(x)) is