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Popular >

f(x)=x+2cos(x),0<x<2pi

Solution

f (x) = x + 2 cos (x), 0 < x < 2 π

Solution

Domain : 0 < x < 2 π

Range : \frac{5 π}{6} - 3 \leq f (x) < 2 π + 2

Intercepts : None

Asymptotes : None

Extreme Points : Maximum (\frac{π}{6}, \frac{π}{6} + 3), Minimum (\frac{5 π}{6}, \frac{5 π}{6} - 3)

+1

Interval Notation

Domain : (0, 2 π)

Range : [\frac{5 π}{6} - 3, 2 π + 2)

Solution steps

Domain of

x + 2 cos (x), 0 < x < 2 π : 0 < x < 2 π

Range of

x + 2 cos (x), 0 < x < 2 π : \frac{5 π}{6} - 3 \leq f (x) < 2 π + 2

Axis interception points of

x + 2 cos (x), 0 < x < 2 π :

None

Asymptotes of

x + 2 cos (x), 0 < x < 2 π :

None

Extreme Points of

x + 2 cos (x), 0 < x < 2 π :

Maximum

(\frac{π}{6}, \frac{π}{6} + 3),

Minimum

(\frac{5 π}{6}, \frac{5 π}{6} - 3)

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Frequently Asked Questions (FAQ)

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