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Popular >

f(x)=2sin(x)+sqrt(3)

Solution

f (x) = 2 sin (x) + 3

Solution

Period : 2 π

Domain : - \infty < x < \infty

Range : - 2 + 3 \leq f (x) \leq 2 + 3

X Intercepts : (\frac{4 π}{3} + 2 πn, 0), (\frac{5 π}{3} + 2 πn, 0), Y Intercepts : (0, 3)

Asymptotes : None

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

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 2 + 3, 2 + 3]

Solution steps

Periodicity of

2 sin (x) + 3 : 2 π

Domain of

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

Range of

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

Axis interception points of

2 sin (x) + 3 :

X Intercepts

: (\frac{4 π}{3} + 2 πn, 0), (\frac{5 π}{3} + 2 πn, 0),

Y Intercepts

: (0, 3)

Asymptotes of

2 sin (x) + 3 :

None

Extreme Points of

2 sin (x) + 3 :

Maximum

(\frac{π}{2} + 2 πn, 2 + 3),

Minimum

(\frac{3 π}{2} + 2 πn, - 2 + 3)

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Frequently Asked Questions (FAQ)

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