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Popular >

y=2sin(2x)+2

Solution

y = 2 sin (2 x) + 2

Solution

Period : π

Domain : - \infty < x < \infty

Range : 0 \leq f (x) \leq 4

X Intercepts : (\frac{3 π}{4} + πn, 0), Y Intercepts : (0, 2)

Asymptotes : None

Extreme Points : Maximum (\frac{π}{4} + πn, 4), Minimum (\frac{3 π}{4} + πn, 0)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [0, 4]

Solution steps

Periodicity of

2 sin (2 x) + 2 : π

Domain of

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

Range of

2 sin (2 x) + 2 : 0 \leq f (x) \leq 4

Axis interception points of

2 sin (2 x) + 2 :

X Intercepts

: (\frac{3 π}{4} + πn, 0),

Y Intercepts

: (0, 2)

Asymptotes of

2 sin (2 x) + 2 :

None

Extreme Points of

2 sin (2 x) + 2 :

Maximum

(\frac{π}{4} + πn, 4),

Minimum

(\frac{3 π}{4} + πn, 0)

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