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Popular >

f(x)=-4sin(2x)

Solution

f (x) = - 4 sin (2 x)

Solution

Period : π

Domain : - \infty < x < \infty

Range : - 4 \leq f (x) \leq 4

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

Asymptotes : None

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

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 4, 4]

Solution steps

Periodicity of

- 4 sin (2 x) : π

Domain of

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

Range of

- 4 sin (2 x) : - 4 \leq f (x) \leq 4

Axis interception points of

- 4 sin (2 x) :

X Intercepts

: (πn, 0), (\frac{π}{2} + πn, 0),

Y Intercepts

: (0, 0)

Asymptotes of

- 4 sin (2 x) :

None

Extreme Points of

- 4 sin (2 x) :

Minimum

(\frac{π}{4} + πn, - 4),

Maximum

(\frac{3 π}{4} + πn, 4)

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