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Popular >

g(x)=2sin(x)

Solution

g (x) = 2 sin (x)

Solution

Period : 2 π

Domain : - \infty < x < \infty

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

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

Asymptotes : None

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

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 2, 2]

Solution steps

Periodicity of

2 sin (x) : 2 π

Domain of

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

Range of

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

Axis interception points of

2 sin (x) :

X Intercepts

: (2 πn, 0), (π + 2 πn, 0),

Y Intercepts

: (0, 0)

Asymptotes of

2 sin (x) :

None

Extreme Points of

2 sin (x) :

Maximum

(\frac{π}{2} + 2 πn, 2),

Minimum

(\frac{3 π}{2} + 2 πn, - 2)

Graph

Popular Examples

y = (x + 1)^{2} (x - 2)

f(x)=2x(x-1)^2(x+3)

f (x) = 2 x (x - 1)^{2} (x + 3)

f(x)=x^2+10x-16

f (x) = x^{2} + 10 x - 16

h(x)=3x^3+4x^2+12x+16

h (x) = 3 x^{3} + 4 x^{2} + 12 x + 16

f(x)=x^3+18x^2+101x+181.1284500000000…

f (x) = x^{3} + 18 x^{2} + 101 x + 181.1284500000000 \dots

Frequently Asked Questions (FAQ)

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