en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

Solution

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

Solution

Period : \frac{π}{3}

Domain : - \infty < x < \infty

Range : 1 \leq f (x) \leq 4

Y Intercepts : (0, 4)

Asymptotes : None

Extreme Points : Maximum (\frac{π}{3} n, 4), Minimum (\frac{π}{6} + \frac{π}{3} n, 1)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [1, 4]

Solution steps

Periodicity of

1 + 3 cos^{2} (3 x) : \frac{π}{3}

Domain of

1 + 3 cos^{2} (3 x) : - \infty < x < \infty

Range of

1 + 3 cos^{2} (3 x) : 1 \leq f (x) \leq 4

Axis interception points of

1 + 3 cos^{2} (3 x) :

Y Intercepts

: (0, 4)

Asymptotes of

1 + 3 cos^{2} (3 x) :

None

Extreme Points of

1 + 3 cos^{2} (3 x) :

Maximum

(\frac{π}{3} n, 4),

Minimum

(\frac{π}{6} + \frac{π}{3} n, 1)

Graph

Popular Examples

factor 4x-4x factor

4 x - 4 x

factor 3e^{x+h}-3e^x factor

3 e^{x + h} - 3 e^{x}

factor 5(x+y)^2-7(x+y)-6 factor

5 (x + y)^{2} - 7 (x + y) - 6

factor ax+ay+7x+7y factor

a x + a y + 7 x + 7 y

dectofrac 5.3 decimal to fraction

5.3

Frequently Asked Questions (FAQ)

What is the f(x)=1+3(cos(3x))^2 ?
The f(x)=1+3(cos(3x))^2 is