en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

y=3sin(x+pi/2)

Solution

y = 3 sin (x + \frac{π}{2})

Solution

Period : 2 π

Domain : - \infty < x < \infty

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

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

Asymptotes : None

Extreme Points : Maximum (2 πn, 3), Minimum (π + 2 πn, - 3)

+1

Solution steps

Periodicity of

3 sin (x + \frac{π}{2}) : 2 π

Domain of

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

Range of

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

Axis interception points of

3 sin (x + \frac{π}{2}) :

X Intercepts

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

Y Intercepts

: (0, 3)

Asymptotes of

3 sin (x + \frac{π}{2}) :

None

Extreme Points of

3 sin (x + \frac{π}{2}) :

Maximum

(2 πn, 3),

Minimum

(π + 2 πn, - 3)

Popular Examples

f(x)={2x-x^2:x<= 2,x+1:x>2}

f (x) = {2 x - x^{2} : x \leq 2, x + 1 : x > 2}

f(x)=(x+2)/(x^2+2x-15)

f (x) = \frac{x + 2}{x ^{2} + 2 x - 15}

f(x)=(10)/(x-2)

f (x) = \frac{10}{x - 2}

f(x)= 2/(log_{3)(x)}

f (x) = \frac{2}{lo g _{3} ( x )}

f(x)=log_{10}(3/(9-x^2))

f (x) = lo g_{10} (\frac{3}{9 - x ^{2}})

Frequently Asked Questions (FAQ)

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