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Popular Functions >

f(x)=3*sin(x)

Solution

f (x) = 3 \cdot sin (x)

Solution

Period : 2 π

Domain : - \infty < x < \infty

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

X Intercepts : (2 πn, 0), (π + 2 πn, 0), Y Intercepts : (0, 0)

Asymptotes : None

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

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 3, 3]

Solution steps

Periodicity of

3 \cdot sin (x) : 2 π

Domain of

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

Range of

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

Axis interception points of

3 \cdot sin (x) :

X Intercepts

: (2 πn, 0), (π + 2 πn, 0),

Y Intercepts

: (0, 0)

Asymptotes of

3 \cdot sin (x) :

None

Extreme Points of

3 \cdot sin (x) :

Maximum

(\frac{π}{2} + 2 πn, 3),

Minimum

(\frac{3 π}{2} + 2 πn, - 3)

Graph

Popular Examples

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f(x)=(sin(x))/((1+cos(x)))

f(x)=(x^2-x-2)/(|x-2|)

Frequently Asked Questions (FAQ)

What is the f(x)=3*sin(x) ?
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