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Popular >

f(θ)=4cos(θ)

Solution

f (θ) = 4 cos (θ)

Solution

Period : 2 π

Domain : - \infty < θ < \infty

Range : - 4 \leq f (θ) \leq 4

X Intercepts : (\frac{π}{2} + 2 πn, 0), (\frac{3 π}{2} + 2 πn, 0), Y Intercepts : (0, 4)

Asymptotes : None

Extreme Points : Maximum (2 πn, 4), Minimum (π + 2 πn, - 4)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 4, 4]

Solution steps

Periodicity of

4 cos (θ) : 2 π

Domain of

4 cos (θ) : - \infty < θ < \infty

Range of

4 cos (θ) : - 4 \leq f (θ) \leq 4

Axis interception points of

4 cos (θ) :

X Intercepts

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

Y Intercepts

: (0, 4)

Asymptotes of

4 cos (θ) :

None

Extreme Points of

4 cos (θ) :

Maximum

(2 πn, 4),

Minimum

(π + 2 πn, - 4)

Popular Examples

integral of 4xe^{2/3 x}

\int 4 x e^{\frac{2}{3} x} d x

limit as x approaches-16 of sqrt(x+16)-4

x \to - 16 lim (x + 16 - 4)

y^{''}-3y^'-18y=0,y(0)=1,y^'(0)=-2

y^{^{''}} - 3 y^{^{'}} - 18 y = 0, y (0) = 1, y^{^{'}} (0) = - 2

derivative of x/((x^2+1^{1/2)})

\frac{d}{d x} (\frac{x}{( x ^{2} + 1 ) ^{\frac{1}{2}}})

(d^2)/(dx^2)((2x^2+7)^5)

\frac{d ^{2}}{d x ^{2}} ((2 x^{2} + 7)^{5})

Frequently Asked Questions (FAQ)

What is the f(θ)=4cos(θ) ?
The f(θ)=4cos(θ) is