en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

y=5cos(3x)+4

Solution

y = 5 cos (3 x) + 4

Solution

Period : \frac{2 π}{3}

Domain : - \infty < x < \infty

Range : - 1 \leq f (x) \leq 9

X Intercepts : (\frac{arccos ( - \frac{4}{5} )}{3} + \frac{2 πn}{3}, 0), (- \frac{arccos ( - \frac{4}{5} )}{3} + \frac{2 π}{3} + \frac{2 πn}{3}, 0), Y Intercepts : (0, 9)

Asymptotes : None

Extreme Points : Maximum (\frac{2 π}{3} n, 9), Minimum (\frac{π}{3} + \frac{2 π}{3} n, - 1)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 1, 9]

Solution steps

Periodicity of

5 cos (3 x) + 4 : \frac{2 π}{3}

Domain of

5 cos (3 x) + 4 : - \infty < x < \infty

Range of

5 cos (3 x) + 4 : - 1 \leq f (x) \leq 9

Axis interception points of

5 cos (3 x) + 4 :

X Intercepts

: (\frac{arccos ( - \frac{4}{5} )}{3} + \frac{2 πn}{3}, 0), (- \frac{arccos ( - \frac{4}{5} )}{3} + \frac{2 π}{3} + \frac{2 πn}{3}, 0),

Y Intercepts

: (0, 9)

Asymptotes of

5 cos (3 x) + 4 :

None

Extreme Points of

5 cos (3 x) + 4 :

Maximum

(\frac{2 π}{3} n, 9),

Minimum

(\frac{π}{3} + \frac{2 π}{3} n, - 1)

Popular Examples

f(x)=(x^{50}+1)/((x^{50))}

f (x) = \frac{x ^{50} + 1}{( x ^{50} )}

f(x)=sqrt(x^2+1)*(x^3+2x)

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

g (t) = e^{2}

f(x)=x^4-4x^3+12

f (x) = x^{4} - 4 x^{3} + 12

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

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

Frequently Asked Questions (FAQ)

What is the y=5cos(3x)+4 ?
The y=5cos(3x)+4 is