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Popular >

y=4sin(3x)

Solution

y = 4 sin (3 x)

Solution

Period : \frac{2 π}{3}

Domain : - \infty < x < \infty

Range : - 4 \leq f (x) \leq 4

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

Asymptotes : None

Extreme Points : Maximum (\frac{π}{6} + \frac{2 π}{3} n, 4), Minimum (\frac{π}{2} + \frac{2 π}{3} n, - 4)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 4, 4]

Solution steps

Periodicity of

4 sin (3 x) : \frac{2 π}{3}

Domain of

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

Range of

4 sin (3 x) : - 4 \leq f (x) \leq 4

Axis interception points of

4 sin (3 x) :

X Intercepts

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

Y Intercepts

: (0, 4 sin (3 \cdot 0))

Asymptotes of

4 sin (3 x) :

None

Extreme Points of

4 sin (3 x) :

Maximum

(\frac{π}{6} + \frac{2 π}{3} n, 4),

Minimum

(\frac{π}{2} + \frac{2 π}{3} n, - 4)

Popular Examples

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f (x) = 3 cos (3 x)

Frequently Asked Questions (FAQ)

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