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Popular >

f(x)=cos^3(2+x)

Solution

f (x) = cos^{3} (2 + x)

Solution

Period : 2 π

Domain : - \infty < x < \infty

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

X Intercepts : (\frac{5 π}{2} - 2 + 2 πn, 0), (\frac{3 π}{2} - 2 + 2 πn, 0), Y Intercepts : (0, cos^{3} (2 + 0))

Asymptotes : None

Extreme Points : Minimum (π - 2 + 2 πn, - 1), Saddle (\frac{3 π}{2} - 2 + 2 πn, 0), Maximum (- 2 + 2 π + 2 πn, 1), Saddle (\frac{5 π - 4}{2} + 2 πn, 0)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 1, 1]

Solution steps

Periodicity of

cos^{3} (2 + x) : 2 π

Domain of

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

Range of

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

Axis interception points of

cos^{3} (2 + x) :

X Intercepts

: (\frac{5 π}{2} - 2 + 2 πn, 0), (\frac{3 π}{2} - 2 + 2 πn, 0),

Y Intercepts

: (0, cos^{3} (2 + 0))

Asymptotes of

cos^{3} (2 + x) :

None

Extreme Points of

cos^{3} (2 + x) :

Minimum

(π - 2 + 2 πn, - 1),

Saddle

(\frac{3 π}{2} - 2 + 2 πn, 0),

Maximum

(- 2 + 2 π + 2 πn, 1),

Saddle

(\frac{5 π - 4}{2} + 2 πn, 0)

Popular Examples

integral of e^{-x}sin(3x)

\int e^{- x} sin (3 x) d x

limit as h approaches 0 of (x+h)3-x^3h

h \to 0 lim ((x + h) 3 - x^{3} h)

integral of (1+y^3)^2

\int (1 + y^{3})^{2} d y

derivative of y=(3+xf(x))/(sqrt(x))derivative of

y = \frac{3 + x f ( x )}{x}

limit as x approaches-infinity of-1

x \to - \infty lim (- 1)

Frequently Asked Questions (FAQ)

What is the f(x)=cos^3(2+x) ?
The f(x)=cos^3(2+x) is