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Popular >

f(θ)= 4/(2+sin(θ))

Solution

f (θ) = \frac{4}{2 + sin ( θ )}

Solution

Period : 2 π

Domain : - \infty < θ < \infty

Range : \frac{4}{3} \leq f (θ) \leq 4

Y Intercepts : (0, 2)

Asymptotes : None

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

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [\frac{4}{3}, 4]

Solution steps

Periodicity of

\frac{4}{2 + sin ( θ )} : 2 π

Domain of

\frac{4}{2 + sin ( θ )} : - \infty < θ < \infty

Range of

\frac{4}{2 + sin ( θ )} : \frac{4}{3} \leq f (θ) \leq 4

Axis interception points of

\frac{4}{2 + sin ( θ )} :

Y Intercepts

: (0, 2)

Asymptotes of

\frac{4}{2 + sin ( θ )} :

None

Extreme Points of

\frac{4}{2 + sin ( θ )} :

Minimum

(\frac{π}{2} + 2 πn, \frac{4}{3}),

Maximum

(\frac{3 π}{2} + 2 πn, 4)

Popular Examples

f(x)=x+1,-2<= x<= 5

f (x) = x + 1, - 2 \leq x \leq 5

f(x)=log_{10}(1/2)x

f (x) = lo g_{10} (\frac{1}{2}) x

y = x^{4} - 8 x^{2} + 4

f (x) = - 3^{x + 2}

f (x) = x^{6} - 3 x^{2}

Frequently Asked Questions (FAQ)

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