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Popular >

y=3sin(2x)

Solution

y = 3 sin (2 x)

Solution

Period : π

Domain : - \infty < x < \infty

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

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

Asymptotes : None

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

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Interval Notation

Domain : (- \infty, \infty)

Range : [- 3, 3]

Solution steps

Periodicity of

3 sin (2 x) : π

Domain of

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

Range of

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

Axis interception points of

3 sin (2 x) :

X Intercepts

: (πn, 0), (\frac{π}{2} + πn, 0),

Y Intercepts

: (0, 0)

Asymptotes of

3 sin (2 x) :

None

Extreme Points of

3 sin (2 x) :

Maximum

(\frac{π}{4} + πn, 3),

Minimum

(\frac{3 π}{4} + πn, - 3)

Popular Examples

asymptotes of y=sqrt(x)asymptotes

y = x

domain of f(x)=3x^2-5x+2 domain

f (x) = 3 x^{2} - 5 x + 2

intercepts of f(x)=(3x^2-5x+2)/(2x^2-2)intercepts

f (x) = \frac{3 x ^{2} - 5 x + 2}{2 x ^{2} - 2}

perpendicular-2/3 x perpendicular

- \frac{2}{3} x

range of 1+2/((x-2)^3)range

1 + \frac{2}{( x - 2 ) ^{3}}

Frequently Asked Questions (FAQ)

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