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Popular Functions >

f(x)=(sqrt(2))/2 x+sin(x)

Solution

f (x) = \frac{2}{2} x + sin (x)

Solution

Domain : - \infty < x < \infty

Y Intercepts : (0, 0)

Asymptotes : None

Extreme Points : Maximum (\frac{3 π}{4} + 2 πn, \frac{3 π + 8 πn}{4 2} + sin (\frac{3 π}{4} + 2 πn)), Minimum (\frac{5 π}{4} + 2 πn, \frac{5 π + 8 πn}{4 2} + sin (\frac{5 π}{4} + 2 πn))

+1

Interval Notation

Domain : (- \infty, \infty)

Solution steps

Domain of

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

Axis interception points of

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

Y Intercepts

: (0, 0)

Asymptotes of

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

None

Extreme Points of

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

Maximum

(\frac{3 π}{4} + 2 πn, \frac{3 π + 8 πn}{4 2} + sin (\frac{3 π}{4} + 2 πn)),

Minimum

(\frac{5 π}{4} + 2 πn, \frac{5 π + 8 πn}{4 2} + sin (\frac{5 π}{4} + 2 πn))

Graph

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Frequently Asked Questions (FAQ)

What is the f(x)=(sqrt(2))/2 x+sin(x) ?
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