What is the f(x)=cos^{0.5}(x) ?

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f(x)=cos^{0.5}(x)

f (x) = cos^{0.5} (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), 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),

Y Intercepts

: (0, 1)

Asymptotes of

cos (x) :

None

Extreme Points of

cos (x) :

Minimum

(\frac{3 π}{2}, 0)

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

f (y_{0}) = e^{2} \cdot y_{0}

k (x) = 10 - 0. 8^{0.4} x + 1

f (x) = (x + 5)^{2} \cdot (x + 1)^{6} \cdot (x - 2)^{4}

y = \frac{( x ^{2} + 1 )}{x}