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Popular >

f(x)=sin(x)

Solution

f (x) = sin (x)

Solution

Period : 2 π

Domain : - \infty < x < \infty

Range : - 1 \leq f (x) \leq 1

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

Asymptotes : None

Extreme Points : Maximum (\frac{π}{2} + 2 πn, 1), Minimum (\frac{3 π}{2} + 2 πn, - 1)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 1, 1]

Solution steps

Periodicity of

sin (x) : 2 π

Domain of

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

Range of

sin (x) : - 1 \leq f (x) \leq 1

Axis interception points of

sin (x) :

X Intercepts

: (2 πn, 0), (π + 2 πn, 0),

Y Intercepts

: (0, 0)

Asymptotes of

sin (x) :

None

Extreme Points of

sin (x) :

Maximum

(\frac{π}{2} + 2 πn, 1),

Minimum

(\frac{3 π}{2} + 2 πn, - 1)

Popular Examples

extreme (e^x)/(x^2)extreme points

\frac{e ^{x}}{x ^{2}}

inverse of 4cos(x)+1 inverse

4 cos (x) + 1

extreme f(x)=3x-x^2 extreme points

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

slope of 2x+4y=8 slope

2 x + 4 y = 8

inverse of f(x)=-6x-1 inverse

f (x) = - 6 x - 1

Frequently Asked Questions (FAQ)

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