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Popular >

f(x)= 3/(2+cos(x))

Solution

f (x) = \frac{3}{2 + cos ( x )}

Solution

Period : 2 π

Domain : - \infty < x < \infty

Range : 1 \leq f (x) \leq 3

Y Intercepts : (0, 1)

Asymptotes : None

Extreme Points : Minimum (2 πn, 1), Maximum (π + 2 πn, 3)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [1, 3]

Solution steps

Periodicity of

\frac{3}{2 + cos ( x )} : 2 π

Domain of

\frac{3}{2 + cos ( x )} : - \infty < x < \infty

Range of

\frac{3}{2 + cos ( x )} : 1 \leq f (x) \leq 3

Axis interception points of

\frac{3}{2 + cos ( x )} :

Y Intercepts

: (0, 1)

Asymptotes of

\frac{3}{2 + cos ( x )} :

None

Extreme Points of

\frac{3}{2 + cos ( x )} :

Minimum

(2 πn, 1),

Maximum

(π + 2 πn, 3)

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Frequently Asked Questions (FAQ)

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