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Popular >

y=3sin(2x+3)

Solution

y = 3 sin (2 x + 3)

Solution

Period : π

Domain : - \infty < x < \infty

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

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

Asymptotes : None

Extreme Points : Minimum (- \frac{3}{2} + \frac{3 π}{4} + πn, - 3), Maximum (\frac{- 6 + 5 π}{4} + πn, 3)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 3, 3]

Solution steps

Periodicity of

3 sin (2 x + 3) : π

Domain of

3 sin (2 x + 3) : - \infty < x < \infty

Range of

3 sin (2 x + 3) : - 3 \leq f (x) \leq 3

Axis interception points of

3 sin (2 x + 3) :

X Intercepts

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

Y Intercepts

: (0, 3 sin (2 \cdot 0 + 3))

Asymptotes of

3 sin (2 x + 3) :

None

Extreme Points of

3 sin (2 x + 3) :

Minimum

(- \frac{3}{2} + \frac{3 π}{4} + πn, - 3),

Maximum

(\frac{- 6 + 5 π}{4} + πn, 3)

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Frequently Asked Questions (FAQ)

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