en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

y=cos^3(x/3)

Solution

y = cos^{3} (\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), Saddle (\frac{3 π}{2} + 6 πn, 0), Minimum (3 π + 6 πn, - 1), Saddle (\frac{9 π}{2} + 6 πn, 0)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 1, 1]

Solution steps

Periodicity of

cos^{3} (\frac{x}{3}) : 6 π

Domain of

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

Range of

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

Axis interception points of

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

None

Extreme Points of

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

Maximum

(6 πn, 1),

Saddle

(\frac{3 π}{2} + 6 πn, 0),

Minimum

(3 π + 6 πn, - 1),

Saddle

(\frac{9 π}{2} + 6 πn, 0)

Popular Examples

y = c x^{4}

f(x)=(x^2+2x-3)/(x^2-4)

f (x) = \frac{x ^{2} + 2 x - 3}{x ^{2} - 4}

f (x) = 7 x^{2} + 14 x

f (n) = n^{2} + 7 n + 10

f(x)=((2x^3))/(x^2+10)

f (x) = \frac{( 2 x ^{3} )}{x ^{2} + 10}

Frequently Asked Questions (FAQ)

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