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Popular Functions >

y=sin(x+1)

Solution

y = sin (x + 1)

Solution

Period : 2 π

Domain : - \infty < x < \infty

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

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

Asymptotes : None

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

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 1, 1]

Solution steps

Periodicity of

sin (x + 1) : 2 π

Domain of

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

Range of

sin (x + 1) : - 1 \leq f (x) \leq 1

Axis interception points of

sin (x + 1) :

X Intercepts

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

Y Intercepts

: (0, sin (1))

Asymptotes of

sin (x + 1) :

None

Extreme Points of

sin (x + 1) :

Maximum

(\frac{π}{2} - 1 + 2 πn, 1),

Minimum

(\frac{3 π}{2} - 1 + 2 πn, - 1)

Graph

Popular Examples

f(x)=(sqrt(1+x)-1)/(\sqrt[3]{1+x)-1}

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

f(x)=sqrt(18-2x)-3,1<= x<= 7

Frequently Asked Questions (FAQ)

What is the y=sin(x+1) ?
The y=sin(x+1) is