en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

f(x)=sin(pix)

Solution

f (x) = sin (π x)

Solution

Period : 2

Domain : - \infty < x < \infty

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

X Intercepts : (2 n, 0), (1 + 2 n, 0), Y Intercepts : (0, 0)

Asymptotes : None

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

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 1, 1]

Solution steps

Periodicity of

sin (π x) : 2

Domain of

sin (π x) : - \infty < x < \infty

Range of

sin (π x) : - 1 \leq f (x) \leq 1

Axis interception points of

sin (π x) :

X Intercepts

: (2 n, 0), (1 + 2 n, 0),

Y Intercepts

: (0, 0)

Asymptotes of

sin (π x) :

None

Extreme Points of

sin (π x) :

Maximum

(\frac{1}{2} + 2 n, 1),

Minimum

(\frac{3}{2} + 2 n, - 1)

Popular Examples

limit as x approaches 5 of sqrt(5-x^2)

x \to 5 lim (5 - x^{2})

derivative of (2x^2-4/((x+4)^2))

\frac{d}{d x} (\frac{2 x ^{2} - 4}{( x + 4 ) ^{2}})

y^{'''}-y^{''}-y^'+y=2e^{-x}+3

y^{^{'''}} - y^{^{''}} - y^{^{'}} + y = 2 e^{- x} + 3

area f(x)= 1/(4(1+x^2)),g(x)= 1/8 x^2 area

f (x) = \frac{1}{4 ( 1 + x ^{2} )}, g (x) = \frac{1}{8} x^{2}

derivative of (2y/(x^2+y^2))

\frac{d}{d x} (\frac{2 y}{x ^{2} + y ^{2}})

Frequently Asked Questions (FAQ)

What is the f(x)=sin(pix) ?
The f(x)=sin(pix) is