en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

f(x)=1-cos^3(x)

Solution

f (x) = 1 - cos^{3} (x)

Solution

Period : 2 π

Domain : - \infty < x < \infty

Range : 0 \leq f (x) \leq 2

X Intercepts : (2 πn, 0), Y Intercepts : (0, 0)

Asymptotes : None

Extreme Points : Minimum (2 πn, 0), Saddle (\frac{π}{2} + 2 πn, 1), Maximum (π + 2 πn, 2), Saddle (\frac{3 π}{2} + 2 πn, 1)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [0, 2]

Solution steps

Periodicity of

1 - cos^{3} (x) : 2 π

Domain of

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

Range of

1 - cos^{3} (x) : 0 \leq f (x) \leq 2

Axis interception points of

1 - cos^{3} (x) :

X Intercepts

: (2 πn, 0),

Y Intercepts

: (0, 0)

Asymptotes of

1 - cos^{3} (x) :

None

Extreme Points of

1 - cos^{3} (x) :

Minimum

(2 πn, 0),

Saddle

(\frac{π}{2} + 2 πn, 1),

Maximum

(π + 2 πn, 2),

Saddle

(\frac{3 π}{2} + 2 πn, 1)

Popular Examples

y = - 5 x - 11

f (x) = e (ln (x))

y = 1 - 3^{x}

f(x)=(-3x^2+75)/(5x^2+35x+50)

f (x) = \frac{- 3 x ^{2} + 75}{5 x ^{2} + 35 x + 50}

f(x)=2log_{8}(x)

f (x) = 2 lo g_{8} (x)

Frequently Asked Questions (FAQ)

What is the f(x)=1-cos^3(x) ?
The f(x)=1-cos^3(x) is