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Popular >

y=5cos^{-4}(x)

Solution

y = 5 cos^{- 4} (x)

Solution

Period : 2 π

Domain : 2 πn \leq x < \frac{π}{2} + 2 πn or \frac{π}{2} + 2 πn < x < \frac{3 π}{2} + 2 πn or \frac{3 π}{2} + 2 πn < x < 2 π + 2 πn

Range : f (x) \geq 5

Y Intercepts : (0, 5)

Asymptotes : Vertical x = \frac{3 π}{2} + 2 πn, x = \frac{π}{2} + 2 πn

Extreme Points : Minimum (2 πn, 5), Minimum (π + 2 πn, 5)

+1

Interval Notation

Domain : [2 πn, \frac{π}{2} + 2 πn) \cup (\frac{π}{2} + 2 πn, \frac{3 π}{2} + 2 πn) \cup (\frac{3 π}{2} + 2 πn, 2 π + 2 πn)

Range : [5, \infty)

Solution steps

Periodicity of

5 cos^{- 4} (x) : 2 π

Domain of

5 cos^{- 4} (x) : 2 πn \leq x < \frac{π}{2} + 2 πn or \frac{π}{2} + 2 πn < x < \frac{3 π}{2} + 2 πn or \frac{3 π}{2} + 2 πn < x < 2 π + 2 πn

Range of

5 cos^{- 4} (x) : f (x) \geq 5

Axis interception points of

5 cos^{- 4} (x) :

Y Intercepts

: (0, 5)

Asymptotes of

5 cos^{- 4} (x) :

Vertical

: x = \frac{3 π}{2} + 2 πn, x = \frac{π}{2} + 2 πn

Extreme Points of

5 cos^{- 4} (x) :

Minimum

(2 πn, 5),

Minimum

(π + 2 πn, 5)

Popular Examples

p (x) = x + 3

f (x) = \frac{1}{243}

f(x)=(-(x^3+x-1))/2

f (x) = \frac{- ( x ^{3} + x - 1 )}{2}

p(x)=3,x^2-x^2+3x-7=(x+2)

p (x) = 3, x^{2} - x^{2} + 3 x - 7 = (x + 2)

f(x)= 2/((x-3))

f (x) = \frac{2}{( x - 3 )}

Frequently Asked Questions (FAQ)

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