What is the f(x)=sqrt(cos(x)) ?

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f(x)=sqrt(cos(x))

f (x) = cos (x)

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

Range : 0 \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 : Minimum (\frac{3 π}{2}, 0)

Interval Notation

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

Range : [0, 1]

Solution steps

Domain of

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

Range of

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

Axis interception points of

cos (x) :

X Intercepts

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

Y Intercepts

: (0, 1)

Asymptotes of

cos (x) :

None

Extreme Points of

cos (x) :

Minimum

(\frac{3 π}{2}, 0)

(- 18 - 20) (- 18 - 15)

\int (\frac{x ^{6} - 5 x}{x ^{2}}) d x

x \to 0 lim (\frac{x}{sin ( \frac{x}{2} )})

\frac{d}{d x} (\frac{- 3 x ^{4} - 5 x ^{3} + 2}{- 5 x ^{4}})

\frac{\partial}{\partial x} (\frac{1}{1 + x})