en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Functions >

f(x)=1-3sin(2x-pi/3)

Solution

f (x) = 1 - 3 sin (2 x - \frac{π}{3})

Solution

Period : π

Domain : - \infty < x < \infty

Range : - 2 \leq f (x) \leq 4

X Intercepts : (\frac{π}{6} + \frac{arcsin ( \frac{1}{3} )}{2} + πn, 0), (\frac{2 π}{3} - \frac{arcsin ( \frac{1}{3} )}{2} + πn, 0), Y Intercepts : (0, 1 + \frac{3 3}{2})

Asymptotes : None

Extreme Points : Minimum (\frac{5 π}{12} + πn, - 2), Maximum (\frac{11 π}{12} + πn, 4)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 2, 4]

Solution steps

Periodicity of

1 - 3 sin (2 x - \frac{π}{3}) : π

Domain of

1 - 3 sin (2 x - \frac{π}{3}) : - \infty < x < \infty

Range of

1 - 3 sin (2 x - \frac{π}{3}) : - 2 \leq f (x) \leq 4

Axis interception points of

1 - 3 sin (2 x - \frac{π}{3}) :

X Intercepts

: (\frac{π}{6} + \frac{arcsin ( \frac{1}{3} )}{2} + πn, 0), (\frac{2 π}{3} - \frac{arcsin ( \frac{1}{3} )}{2} + πn, 0),

Y Intercepts

: (0, 1 + \frac{3 3}{2})

Asymptotes of

1 - 3 sin (2 x - \frac{π}{3}) :

None

Extreme Points of

1 - 3 sin (2 x - \frac{π}{3}) :

Minimum

(\frac{5 π}{12} + πn, - 2),

Maximum

(\frac{11 π}{12} + πn, 4)

Graph

Popular Examples

y=sqrt(x^2-5x+6)

f(x)=(cos(2x))/x

f(x)=2x^3-36x^2+210x-15

f(x)=(-x^3-2x^{-2}+5)(x^{-4}+5x^2-x-9)

Frequently Asked Questions (FAQ)

What is the f(x)=1-3sin(2x-pi/3) ?
The f(x)=1-3sin(2x-pi/3) is