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Popular >

f(x)=-3sin(x)

Solution

f (x) = - 3 sin (x)

Solution

Period : 2 π

Domain : - \infty < x < \infty

Range : - 3 \leq f (x) \leq 3

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

Asymptotes : None

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

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 3, 3]

Solution steps

Periodicity of

- 3 sin (x) : 2 π

Domain of

- 3 sin (x) : - \infty < x < \infty

Range of

- 3 sin (x) : - 3 \leq f (x) \leq 3

Axis interception points of

- 3 sin (x) :

X Intercepts

: (2 πn, 0), (π + 2 πn, 0),

Y Intercepts

: (0, 0)

Asymptotes of

- 3 sin (x) :

None

Extreme Points of

- 3 sin (x) :

Minimum

(\frac{π}{2} + 2 πn, - 3),

Maximum

(\frac{3 π}{2} + 2 πn, 3)

Popular Examples

domain of sqrt(9a^2),a<0 domain

9 a^{2}, a < 0

f (x) = x^{3} - 12 x - 5

y=(x^{-2}-x^{-4})/(x^{-2)-x^{-3}}

y = \frac{x ^{- 2} - x ^{- 4}}{x ^{- 2} - x ^{- 3}}

f (x) = 2 x^{3} - 6 x + 1

f(x)=-x^2-6x-13

f (x) = - x^{2} - 6 x - 13

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