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Popular >

y=sqrt(2pi)sin(pi(x-1))

Solution

y = 2 π sin (π (x - 1))

Solution

Period : 2

Domain : - \infty < x < \infty

Range : - 2 π \leq f (x) \leq 2 π

X Intercepts : (1 + 2 n, 0), (2 n, 0), Y Intercepts : (0, 0)

Asymptotes : None

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

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 2 π, 2 π]

Solution steps

Periodicity of

2 π sin (π (x - 1)) : 2

Domain of

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

Range of

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

Axis interception points of

2 π sin (π (x - 1)) :

X Intercepts

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

Y Intercepts

: (0, 0)

Asymptotes of

2 π sin (π (x - 1)) :

None

Extreme Points of

2 π sin (π (x - 1)) :

Minimum

(\frac{1}{2} + 2 n, - 2 π),

Maximum

(\frac{3}{2} + 2 n, 2 π)

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Frequently Asked Questions (FAQ)

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