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Popular Functions >

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)

Graph

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 sqrt(12-x^2)range

12 - x^{2}

inverse of f(x)=(-(1/5)x+3)/5 inverse

f (x) = \frac{- ( \frac{1}{5} ) x + 3}{5}

domain of (x-2)/(2x^2)domain

\frac{x - 2}{2 x ^{2}}

Frequently Asked Questions (FAQ)

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