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Popular Functions >

y=((1+sin^2(x)))/2

Solution

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

Solution

Period : π

Domain : - \infty < x < \infty

Range : \frac{1}{2} \leq f (x) \leq 1

Y Intercepts : (0, \frac{1}{2})

Asymptotes : None

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

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [\frac{1}{2}, 1]

Solution steps

Periodicity of

\frac{1 + sin ^{2} ( x )}{2} : π

Domain of

\frac{1 + sin ^{2} ( x )}{2} : - \infty < x < \infty

Range of

\frac{1 + sin ^{2} ( x )}{2} : \frac{1}{2} \leq f (x) \leq 1

Axis interception points of

\frac{1 + sin ^{2} ( x )}{2} :

Y Intercepts

: (0, \frac{1}{2})

Asymptotes of

\frac{1 + sin ^{2} ( x )}{2} :

None

Extreme Points of

\frac{1 + sin ^{2} ( x )}{2} :

Minimum

(πn, \frac{1}{2}),

Maximum

(\frac{π}{2} + πn, 1)

Graph

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Frequently Asked Questions (FAQ)

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