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Popular >

y=2sin(x)-1

Solution

y = 2 sin (x) - 1

Solution

Period : 2 π

Domain : - \infty < x < \infty

Range : - 3 \leq f (x) \leq 1

X Intercepts : (\frac{π}{6} + 2 πn, 0), (\frac{5 π}{6} + 2 πn, 0), Y Intercepts : (0, - 1)

Asymptotes : None

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

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 3, 1]

Solution steps

Periodicity of

2 sin (x) - 1 : 2 π

Domain of

2 sin (x) - 1 : - \infty < x < \infty

Range of

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

Axis interception points of

2 sin (x) - 1 :

X Intercepts

: (\frac{π}{6} + 2 πn, 0), (\frac{5 π}{6} + 2 πn, 0),

Y Intercepts

: (0, - 1)

Asymptotes of

2 sin (x) - 1 :

None

Extreme Points of

2 sin (x) - 1 :

Maximum

(\frac{π}{2} + 2 πn, 1),

Minimum

(\frac{3 π}{2} + 2 πn, - 3)

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Frequently Asked Questions (FAQ)

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