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Popular Functions >

f(x)=cos^{3/2}(x)

Solution

f (x) = cos^{\frac{3}{2}} (x)

Solution

Domain : - \frac{π}{2} + 2 πn \leq x \leq \frac{π}{2} + 2 πn

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, cos^{\frac{3}{2}} (2 πn)), Minimum (\frac{π}{2} + 2 πn, cos^{\frac{3}{2}} (\frac{π}{2} + 2 πn)), Minimum (\frac{3 π}{2} + 2 πn, cos^{\frac{3}{2}} (\frac{3 π}{2} + 2 πn))

+1

Interval Notation

Domain : [- \frac{π}{2} + 2 πn, \frac{π}{2} + 2 πn]

Solution steps

Domain of

cos^{\frac{3}{2}} (x) : - \frac{π}{2} + 2 πn \leq x \leq \frac{π}{2} + 2 πn

Axis interception points of

cos^{\frac{3}{2}} (x) :

X Intercepts

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

Y Intercepts

: (0, 1)

Asymptotes of

cos^{\frac{3}{2}} (x) :

None

Extreme Points of

cos^{\frac{3}{2}} (x) :

Maximum

(2 πn, cos^{\frac{3}{2}} (2 πn)),

Minimum

(\frac{π}{2} + 2 πn, cos^{\frac{3}{2}} (\frac{π}{2} + 2 πn)),

Minimum

(\frac{3 π}{2} + 2 πn, cos^{\frac{3}{2}} (\frac{3 π}{2} + 2 πn))

Graph

Popular Examples

f(x)=sqrt(-x-2+2)

domain of (s-4)/((s+1)(s+2)),s>-1

f(x)=(4x+6)/(sqrt(x^2+3x+4))

Frequently Asked Questions (FAQ)

What is the f(x)=cos^{3/2}(x) ?
The f(x)=cos^{3/2}(x) is