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Popular >

y=0.4sin(3x+pi/3)

Solution

y = 0.4 sin (3 x + \frac{π}{3})

Solution

Period : \frac{2 π}{3}

Domain : - \infty < x < \infty

Range : - 0.4 \leq f (x) \leq 0.4

X Intercepts : (\frac{5 π}{9} + \frac{2 πn}{3}, 0), (\frac{2 π}{9} + \frac{2 πn}{3}, 0), Y Intercepts : (0, \frac{3}{5})

Asymptotes : None

Extreme Points : Maximum (\frac{π}{18} + \frac{2 π}{3} n, 0.4), Minimum (\frac{7 π}{18} + \frac{2 π}{3} n, - 0.4)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 0.4, 0.4]

Solution steps

Periodicity of

0.4 sin (3 x + \frac{π}{3}) : \frac{2 π}{3}

Domain of

0.4 sin (3 x + \frac{π}{3}) : - \infty < x < \infty

Range of

0.4 sin (3 x + \frac{π}{3}) : - 0.4 \leq f (x) \leq 0.4

Axis interception points of

0.4 sin (3 x + \frac{π}{3}) :

X Intercepts

: (\frac{5 π}{9} + \frac{2 πn}{3}, 0), (\frac{2 π}{9} + \frac{2 πn}{3}, 0),

Y Intercepts

: (0, \frac{3}{5})

Asymptotes of

0.4 sin (3 x + \frac{π}{3}) :

None

Extreme Points of

0.4 sin (3 x + \frac{π}{3}) :

Maximum

(\frac{π}{18} + \frac{2 π}{3} n, 0.4),

Minimum

(\frac{7 π}{18} + \frac{2 π}{3} n, - 0.4)

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Frequently Asked Questions (FAQ)

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