What is the f(x)=(sqrt(3)sin(x)+cos(x))/2 ?

The f(x)=(sqrt(3)sin(x)+cos(x))/2 is

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

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

Period : 2 π

Domain : - \infty < x < \infty

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

X Intercepts : (\frac{5 π}{6} + 2 πn, 0), (\frac{11 π}{6} + 2 πn, 0), Y Intercepts : (0, \frac{1}{2})

Asymptotes : None

Extreme Points : Maximum (\frac{π}{3} + 2 πn, 1), Minimum (\frac{4 π}{3} + 2 πn, - 1)

Interval Notation

Domain : (- \infty, \infty)

Range : [- 1, 1]

Solution steps

Periodicity of

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

Domain of

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

Range of

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

Axis interception points of

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

X Intercepts

: (\frac{5 π}{6} + 2 πn, 0), (\frac{11 π}{6} + 2 πn, 0),

Y Intercepts

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

Asymptotes of

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

None

Extreme Points of

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

Maximum

(\frac{π}{3} + 2 πn, 1),

Minimum

(\frac{4 π}{3} + 2 πn, - 1)

h (x) = - 2 x^{2} + 4 x + 16

f (x) = 24

f (x) = 2 + 16 + x^{2}

y = - 2 x^{2} + 3 x - 1

f (x) = x^{2} - 5 x + 24

What is the f(x)=(sqrt(3)sin(x)+cos(x))/2 ?
The f(x)=(sqrt(3)sin(x)+cos(x))/2 is