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Popular >

y=-3sin(3x)

Solution

y = - 3 sin (3 x)

Solution

Period : \frac{2 π}{3}

Domain : - \infty < x < \infty

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

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

Asymptotes : None

Extreme Points : Minimum (\frac{π}{6} + \frac{2 π}{3} n, - 3), Maximum (\frac{π}{2} + \frac{2 π}{3} n, 3)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 3, 3]

Solution steps

Periodicity of

- 3 sin (3 x) : \frac{2 π}{3}

Domain of

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

Range of

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

Axis interception points of

- 3 sin (3 x) :

X Intercepts

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

Y Intercepts

: (0, 0)

Asymptotes of

- 3 sin (3 x) :

None

Extreme Points of

- 3 sin (3 x) :

Minimum

(\frac{π}{6} + \frac{2 π}{3} n, - 3),

Maximum

(\frac{π}{2} + \frac{2 π}{3} n, 3)

Popular Examples

f(x)=(x^2(x+1))/x

f (x) = \frac{x ^{2} ( x + 1 )}{x}

y = - 4.9 x^{2} + 20 x

y = - 2 (x - 1) (x + 3)

y = - 2 x^{2} + 8 x - 15

F(x)=(x^2+1)^{1/5 x}

F (x) = (x^{2} + 1)^{\frac{1}{5} x}

Frequently Asked Questions (FAQ)

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