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

+1

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) :

Minimum

(\frac{π}{4} + πn, - 3),

Maximum

(\frac{3 π}{4} + πn, 3)

Popular Examples

f(x)=2x^3-4x^2-x+4

f (x) = 2 x^{3} - 4 x^{2} - x + 4

f (x) = \frac{4}{x + 5}

f (x) = e^{x - 6}

y = \frac{sin ( 2 x )}{x}

y = \frac{1}{2} cos (4 x)

Frequently Asked Questions (FAQ)

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