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Popular >

y=-9sin(3x-6)

Solution

y = - 9 sin (3 x - 6)

Solution

Period : \frac{2 π}{3}

Domain : - \infty < x < \infty

Range : - 9 \leq f (x) \leq 9

X Intercepts : (2 + \frac{2 πn}{3}, 0), (- \frac{π}{3} + 2 + \frac{2 πn}{3}, 0), Y Intercepts : (0, - 9 sin (3 \cdot 0 - 6))

Asymptotes : None

Extreme Points : Minimum (\frac{12 - 3 π}{6} + \frac{2 π}{3} n, - 9), Maximum (\frac{12 - π}{6} + \frac{2 π}{3} n, 9)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 9, 9]

Solution steps

Periodicity of

- 9 sin (3 x - 6) : \frac{2 π}{3}

Domain of

- 9 sin (3 x - 6) : - \infty < x < \infty

Range of

- 9 sin (3 x - 6) : - 9 \leq f (x) \leq 9

Axis interception points of

- 9 sin (3 x - 6) :

X Intercepts

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

Y Intercepts

: (0, - 9 sin (3 \cdot 0 - 6))

Asymptotes of

- 9 sin (3 x - 6) :

None

Extreme Points of

- 9 sin (3 x - 6) :

Minimum

(\frac{12 - 3 π}{6} + \frac{2 π}{3} n, - 9),

Maximum

(\frac{12 - π}{6} + \frac{2 π}{3} n, 9)

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Frequently Asked Questions (FAQ)

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