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Popular >

y=3sin(x+pi/4)

Solution

y = 3 sin (x + \frac{π}{4})

Solution

Period : 2 π

Domain : - \infty < x < \infty

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

X Intercepts : (\frac{7 π}{4} + 2 πn, 0), (π - \frac{π}{4} + 2 πn, 0), Y Intercepts : (0, \frac{3 2}{2})

Asymptotes : None

Extreme Points : Maximum (\frac{π}{4} + 2 πn, 3), Minimum (\frac{5 π}{4} + 2 πn, - 3)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 3, 3]

Solution steps

Periodicity of

3 sin (x + \frac{π}{4}) : 2 π

Domain of

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

Range of

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

Axis interception points of

3 sin (x + \frac{π}{4}) :

X Intercepts

: (\frac{7 π}{4} + 2 πn, 0), (π - \frac{π}{4} + 2 πn, 0),

Y Intercepts

: (0, \frac{3 2}{2})

Asymptotes of

3 sin (x + \frac{π}{4}) :

None

Extreme Points of

3 sin (x + \frac{π}{4}) :

Maximum

(\frac{π}{4} + 2 πn, 3),

Minimum

(\frac{5 π}{4} + 2 πn, - 3)

Popular Examples

f (x) = x^{2} + 1 - x

y = 2 x^{2} - 12 x + 6

y = 2 x^{2} - 12 x + 3

y = 3 sin (x + \frac{π}{3})

y=2(5x+1)+3(5x+3)

y = 2 (5 x + 1) + 3 (5 x + 3)

Frequently Asked Questions (FAQ)

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