en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

y=2sin(3x-21)+4

Solution

y = 2 sin (3 x - 21) + 4

Solution

Period : \frac{2 π}{3}

Domain : - \infty < x < \infty

Range : 2 \leq f (x) \leq 6

Y Intercepts : (0, 2 sin (3 \cdot 0 - 21) + 4)

Asymptotes : None

Extreme Points : Minimum (\frac{42 - 13 π}{6} + \frac{2 π}{3} n, 2), Maximum (\frac{42 - 11 π}{6} + \frac{2 π}{3} n, 6)

+1

Solution steps

Periodicity of

2 sin (3 x - 21) + 4 : \frac{2 π}{3}

Domain of

2 sin (3 x - 21) + 4 : - \infty < x < \infty

Range of

2 sin (3 x - 21) + 4 : 2 \leq f (x) \leq 6

Axis interception points of

2 sin (3 x - 21) + 4 :

Y Intercepts

: (0, 2 sin (3 \cdot 0 - 21) + 4)

Asymptotes of

2 sin (3 x - 21) + 4 :

None

Extreme Points of

2 sin (3 x - 21) + 4 :

Minimum

(\frac{42 - 13 π}{6} + \frac{2 π}{3} n, 2),

Maximum

(\frac{42 - 11 π}{6} + \frac{2 π}{3} n, 6)

Popular Examples

f(x)=e^{sin(x)}ln(x)

f (x) = e^{s i n (x)} ln (x)

f (x) = - 5 x + 11

f(x)=10-log_{10}(x^2+2x-8)

f (x) = 10 - lo g_{10} (x^{2} + 2 x - 8)

f(x)=((2x+1))/((-5x+3))

f (x) = \frac{( 2 x + 1 )}{( - 5 x + 3 )}

y=-2\sqrt[3]{x}+4

Frequently Asked Questions (FAQ)

What is the y=2sin(3x-21)+4 ?
The y=2sin(3x-21)+4 is