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Popular >

y=3sin(x-pi)

Solution

y = 3 sin (x - π)

Solution

Period : 2 π

Domain : - \infty < x < \infty

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

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

Asymptotes : None

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

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 3, 3]

Solution steps

Periodicity of

3 sin (x - π) : 2 π

Domain of

3 sin (x - π) : - \infty < x < \infty

Range of

3 sin (x - π) : - 3 \leq f (x) \leq 3

Axis interception points of

3 sin (x - π) :

X Intercepts

: (π + 2 πn, 0), (2 πn, 0),

Y Intercepts

: (0, 0)

Asymptotes of

3 sin (x - π) :

None

Extreme Points of

3 sin (x - π) :

Minimum

(\frac{π}{2} + 2 πn, - 3),

Maximum

(\frac{3 π}{2} + 2 πn, 3)

Popular Examples

y= 1/2 x^2+3/4 x-1/2

y = \frac{1}{2} x^{2} + \frac{3}{4} x - \frac{1}{2}

f(x)=x^3-9x^2-9x-15

f (x) = x^{3} - 9 x^{2} - 9 x - 15

f(x)=x^3e^{-3x}

f (x) = x^{3} e^{- 3 x}

f(x)=x^3e^{-4x}

f (x) = x^{3} e^{- 4 x}

f (x) = 3 x^{2} - 6 x - 3

Frequently Asked Questions (FAQ)

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