en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Functions >

f(x)=4cos(x)+2sin(x)

Solution

f (x) = 4 cos (x) + 2 sin (x)

Solution

Period : 2 π

Domain : - \infty < x < \infty

Range : - 25 \leq f (x) \leq 25

X Intercepts : (- arctan (2) + π + 2 πn, 0), (- arctan (2) + 2 π + 2 πn, 0), Y Intercepts : (0, 4)

Asymptotes : None

Extreme Points : Maximum (arctan (\frac{1}{2}) + 2 πn, 25), Minimum (arctan (\frac{1}{2}) + π + 2 πn, - 25)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 25, 25]

Solution steps

Periodicity of

4 cos (x) + 2 sin (x) : 2 π

Domain of

4 cos (x) + 2 sin (x) : - \infty < x < \infty

Range of

4 cos (x) + 2 sin (x) : - 25 \leq f (x) \leq 25

Axis interception points of

4 cos (x) + 2 sin (x) :

X Intercepts

: (- arctan (2) + π + 2 πn, 0), (- arctan (2) + 2 π + 2 πn, 0),

Y Intercepts

: (0, 4)

Asymptotes of

4 cos (x) + 2 sin (x) :

None

Extreme Points of

4 cos (x) + 2 sin (x) :

Maximum

(arctan (\frac{1}{2}) + 2 πn, 25),

Minimum

(arctan (\frac{1}{2}) + π + 2 πn, - 25)

Graph

Popular Examples

f(x)=sqrt(x-1)+2sqrt(1-x)+sqrt(x^2+1)

f(x)=2x^5-3x^4+x-6

y=x^3-5x^2+9x-45

f(x)=sqrt(-4x-x^2)

Frequently Asked Questions (FAQ)

What is the f(x)=4cos(x)+2sin(x) ?
The f(x)=4cos(x)+2sin(x) is