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Popular >

f(x)=2sin(x)

Solution

f (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)

Popular Examples

symmetry xy=7 symmetry

x y = 7

asymptotes of f(x)=(3x-4)/(4x+9)asymptotes

f (x) = \frac{3 x - 4}{4 x + 9}

extreme f(x)=x^3-6x^2+5 extreme points

f (x) = x^{3} - 6 x^{2} + 5

asymptotes of (2x^2-7x+3)/(x^2-3x-2)asymptotes

\frac{2 x ^{2} - 7 x + 3}{x ^{2} - 3 x - 2}

domain of f(x)=(4y^2+16y+64)/(y^3-6y^2)domain

f (x) = \frac{4 y ^{2} + 16 y + 64}{y ^{3} - 6 y ^{2}}

Frequently Asked Questions (FAQ)

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