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Popular Functions >

f(x)=2sin(x+1)

Solution

f (x) = 2 sin (x + 1)

Solution

Period : 2 π

Domain : - \infty < x < \infty

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

X Intercepts : (- 1 + 2 π + 2 πn, 0), (π - 1 + 2 πn, 0), Y Intercepts : (0, 2 sin (0 + 1))

Asymptotes : None

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

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 2, 2]

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

Axis interception points of

2 sin (x + 1) :

X Intercepts

: (- 1 + 2 π + 2 πn, 0), (π - 1 + 2 πn, 0),

Y Intercepts

: (0, 2 sin (0 + 1))

Asymptotes of

2 sin (x + 1) :

None

Extreme Points of

2 sin (x + 1) :

Maximum

(\frac{π}{2} - 1 + 2 πn, 2),

Minimum

(\frac{3 π}{2} - 1 + 2 πn, - 2)

Graph

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Frequently Asked Questions (FAQ)

What is the f(x)=2sin(x+1) ?
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