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Popular >

f(θ)=4sin(θ)

Solution

f (θ) = 4 sin (θ)

Solution

Period : 2 π

Domain : - \infty < θ < \infty

Range : - 4 \leq f (θ) \leq 4

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

Asymptotes : None

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

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 4, 4]

Solution steps

Periodicity of

4 sin (θ) : 2 π

Domain of

4 sin (θ) : - \infty < θ < \infty

Range of

4 sin (θ) : - 4 \leq f (θ) \leq 4

Axis interception points of

4 sin (θ) :

X Intercepts

: (2 πn, 0), (π + 2 πn, 0),

Y Intercepts

: (0, 0)

Asymptotes of

4 sin (θ) :

None

Extreme Points of

4 sin (θ) :

Maximum

(\frac{π}{2} + 2 πn, 4),

Minimum

(\frac{3 π}{2} + 2 πn, - 4)

Popular Examples

area y=(14)/x ,y=-64x+72 area

y = \frac{14}{x}, y = - 64 x + 72

(\partial)/(\partial y)(4x^3y^3-3x^2sin(x^3)y)

\frac{\partial}{\partial y} (4 x^{3} y^{3} - 3 x^{2} sin (x^{3}) y)

derivative of ((x^2-1^3)/((2x+1)^5))

\frac{d}{d x} (\frac{( x ^{2} - 1 ) ^{3}}{( 2 x + 1 ) ^{5}})

integral from-2 to 4 of (x^2-2x-8)

\int_{- 2}^{4} (x^{2} - 2 x - 8) d x

limit as x approaches infinity of (sin(17x))/x

x \to \infty lim (\frac{sin ( 17 x )}{x})

Frequently Asked Questions (FAQ)

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