en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

y=-3sin(2x-pi/4)

Solution

y = - 3 sin (2 x - \frac{π}{4})

Solution

Period : π

Domain : - \infty < x < \infty

Range : - 3 \leq f (x) \leq 3

X Intercepts : (\frac{π}{8} + πn, 0), (\frac{5 π}{8} + πn, 0), Y Intercepts : (0, \frac{3 2}{2})

Asymptotes : None

Extreme Points : Minimum (\frac{3 π}{8} + πn, - 3), Maximum (\frac{7 π}{8} + πn, 3)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 3, 3]

Solution steps

Periodicity of

- 3 sin (2 x - \frac{π}{4}) : π

Domain of

- 3 sin (2 x - \frac{π}{4}) : - \infty < x < \infty

Range of

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

Axis interception points of

- 3 sin (2 x - \frac{π}{4}) :

X Intercepts

: (\frac{π}{8} + πn, 0), (\frac{5 π}{8} + πn, 0),

Y Intercepts

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

Asymptotes of

- 3 sin (2 x - \frac{π}{4}) :

None

Extreme Points of

- 3 sin (2 x - \frac{π}{4}) :

Minimum

(\frac{3 π}{8} + πn, - 3),

Maximum

(\frac{7 π}{8} + πn, 3)

Popular Examples

f (x) = 3 sin (4 x)

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

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

g (x) = ∣ x ∣

solvefor r,r=9cos(θ)solve for

r, r = 9 cos (θ)

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

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

Frequently Asked Questions (FAQ)

What is the y=-3sin(2x-pi/4) ?
The y=-3sin(2x-pi/4) is