en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

f(x)=cos(x/3)

Solution

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

Solution

Period : 6 π

Domain : - \infty < x < \infty

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

X Intercepts : (\frac{3 π}{2} + 6 πn, 0), (\frac{9 π}{2} + 6 πn, 0), Y Intercepts : (0, 1)

Asymptotes : None

Extreme Points : Maximum (6 πn, 1), Minimum (3 π + 6 πn, - 1)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 1, 1]

Solution steps

Periodicity of

cos (\frac{x}{3}) : 6 π

Domain of

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

Range of

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

Axis interception points of

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

X Intercepts

: (\frac{3 π}{2} + 6 πn, 0), (\frac{9 π}{2} + 6 πn, 0),

Y Intercepts

: (0, 1)

Asymptotes of

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

None

Extreme Points of

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

Maximum

(6 πn, 1),

Minimum

(3 π + 6 πn, - 1)

Popular Examples

derivative of f(x)=x^7+10 derivative of

f (x) = x^{7} + 10

taylor ln(x)5 taylor

ln (x) 5

sum from n=1 to infinity of n/(7^n)

n = 1 \sum \infty \frac{n}{7 ^{n}}

limit as x approaches 0 of ((ln(1+x)))/x

x \to 0 lim (\frac{( ln ( 1 + x ) )}{x})

integral of (3x-2)^4

\int (3 x - 2)^{4} d x

Frequently Asked Questions (FAQ)

What is the f(x)=cos(x/3) ?
The f(x)=cos(x/3) is