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Popular >

f(x)=cos^4(x)

Solution

f (x) = cos^{4} (x)

Solution

Period : π

Domain : - \infty < x < \infty

Range : 0 \leq f (x) \leq 1

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

Asymptotes : None

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

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [0, 1]

Solution steps

Periodicity of

cos^{4} (x) : π

Domain of

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

Range of

cos^{4} (x) : 0 \leq f (x) \leq 1

Axis interception points of

cos^{4} (x) :

X Intercepts

: (\frac{π}{2} + πn, 0),

Y Intercepts

: (0, 1)

Asymptotes of

cos^{4} (x) :

None

Extreme Points of

cos^{4} (x) :

Maximum

(πn, 1),

Minimum

(\frac{π}{2} + πn, 0)

Popular Examples

slope of y= 5/9 x-4 slope

y = \frac{5}{9} x - 4

critical ln(1/(1+e^{-x)})critical points

ln (\frac{1}{1 + e ^{- x}})

range of f(x)=-x^2 range

f (x) = - x^{2}

range of sqrt(12-x^2)range

12 - x^{2}

domain of f(x)=1-e^{-x}*x^2 domain

f (x) = 1 - e^{- x} \cdot x^{2}

Frequently Asked Questions (FAQ)

What is the f(x)=cos^4(x) ?
The f(x)=cos^4(x) is