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Popular >

f(x)=2sin(3x+pi)-3

Solution

f (x) = 2 sin (3 x + π) - 3

Solution

Period : \frac{2 π}{3}

Domain : - \infty < x < \infty

Range : - 5 \leq f (x) \leq - 1

Y Intercepts : (0, - 3)

Asymptotes : None

Extreme Points : Minimum (\frac{π}{6} + \frac{2 π}{3} n, - 5), Maximum (\frac{π}{2} + \frac{2 π}{3} n, - 1)

+1

Solution steps

Periodicity of

2 sin (3 x + π) - 3 : \frac{2 π}{3}

Domain of

2 sin (3 x + π) - 3 : - \infty < x < \infty

Range of

2 sin (3 x + π) - 3 : - 5 \leq f (x) \leq - 1

Axis interception points of

2 sin (3 x + π) - 3 :

Y Intercepts

: (0, - 3)

Asymptotes of

2 sin (3 x + π) - 3 :

None

Extreme Points of

2 sin (3 x + π) - 3 :

Minimum

(\frac{π}{6} + \frac{2 π}{3} n, - 5),

Maximum

(\frac{π}{2} + \frac{2 π}{3} n, - 1)

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Frequently Asked Questions (FAQ)

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