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Popular >

y=-sin(3x+pi)-1

Solution

y = - sin (3 x + π) - 1

Solution

Period : \frac{2 π}{3}

Domain : - \infty < x < \infty

Range : - 2 \leq f (x) \leq 0

X Intercepts : (\frac{π}{6} + \frac{2 πn}{3}, 0), Y Intercepts : (0, - 1)

Asymptotes : None

Extreme Points : Maximum (\frac{π}{6} + \frac{2 π}{3} n, 0), Minimum (\frac{π}{2} + \frac{2 π}{3} n, - 2)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 2, 0]

Solution steps

Periodicity of

- sin (3 x + π) - 1 : \frac{2 π}{3}

Domain of

- sin (3 x + π) - 1 : - \infty < x < \infty

Range of

- sin (3 x + π) - 1 : - 2 \leq f (x) \leq 0

Axis interception points of

- sin (3 x + π) - 1 :

X Intercepts

: (\frac{π}{6} + \frac{2 πn}{3}, 0),

Y Intercepts

: (0, - 1)

Asymptotes of

- sin (3 x + π) - 1 :

None

Extreme Points of

- sin (3 x + π) - 1 :

Maximum

(\frac{π}{6} + \frac{2 π}{3} n, 0),

Minimum

(\frac{π}{2} + \frac{2 π}{3} n, - 2)

Popular Examples

x = sin^{3} (t)

y = ln (1 - 2 x)

f (x) = x + 2

f (x) = \frac{9}{x - 9}

y = - \frac{1}{2} cos (2 x)

Frequently Asked Questions (FAQ)

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