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Popular Functions >

y=sin(3x-pi/4)

Solution

y = sin (3 x - \frac{π}{4})

Solution

Period : \frac{2 π}{3}

Domain : - \infty < x < \infty

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

X Intercepts : (\frac{π}{12} + \frac{2 πn}{3}, 0), (\frac{5 π}{12} + \frac{2 πn}{3}, 0), Y Intercepts : (0, - \frac{2}{2})

Asymptotes : None

Extreme Points : Maximum (\frac{π}{4} + \frac{2 π}{3} n, 1), Minimum (\frac{7 π}{12} + \frac{2 π}{3} n, - 1)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 1, 1]

Solution steps

Periodicity of

sin (3 x - \frac{π}{4}) : \frac{2 π}{3}

Domain of

sin (3 x - \frac{π}{4}) : - \infty < x < \infty

Range of

sin (3 x - \frac{π}{4}) : - 1 \leq f (x) \leq 1

Axis interception points of

sin (3 x - \frac{π}{4}) :

X Intercepts

: (\frac{π}{12} + \frac{2 πn}{3}, 0), (\frac{5 π}{12} + \frac{2 πn}{3}, 0),

Y Intercepts

: (0, - \frac{2}{2})

Asymptotes of

sin (3 x - \frac{π}{4}) :

None

Extreme Points of

sin (3 x - \frac{π}{4}) :

Maximum

(\frac{π}{4} + \frac{2 π}{3} n, 1),

Minimum

(\frac{7 π}{12} + \frac{2 π}{3} n, - 1)

Graph

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Frequently Asked Questions (FAQ)

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