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Popular >

f(x)=(cos(x))^3

Solution

f (x) = (cos (x))^{3}

Solution

Period : 2 π

Domain : - \infty < x < \infty

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

X Intercepts : (\frac{π}{2} + 2 πn, 0), (\frac{3 π}{2} + 2 πn, 0), Y Intercepts : (0, 1)

Asymptotes : None

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

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 1, 1]

Solution steps

Periodicity of

cos^{3} (x) : 2 π

Domain of

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

Range of

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

Axis interception points of

cos^{3} (x) :

X Intercepts

: (\frac{π}{2} + 2 πn, 0), (\frac{3 π}{2} + 2 πn, 0),

Y Intercepts

: (0, 1)

Asymptotes of

cos^{3} (x) :

None

Extreme Points of

cos^{3} (x) :

Maximum

(2 πn, 1),

Saddle

(\frac{π}{2} + 2 πn, 0),

Minimum

(π + 2 πn, - 1),

Saddle

(\frac{3 π}{2} + 2 πn, 0)

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Frequently Asked Questions (FAQ)

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