en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Functions >

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

Solution

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

Solution

Period : π

Domain : - \infty < x < \infty

Range : - 1 \leq f (x) \leq 2

X Intercepts : (arccos (\frac{1}{3}) + πn, 0), (π - arccos (\frac{1}{3}) + πn, 0), (arccos (- \frac{1}{3}) + πn, 0), (- arccos (- \frac{1}{3}) + π + πn, 0), Y Intercepts : (0, 2)

Asymptotes : None

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

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 1, 2]

Solution steps

Periodicity of

3 cos^{2} (x) - 1 : π

Domain of

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

Range of

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

Axis interception points of

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

X Intercepts

: (arccos (\frac{1}{3}) + πn, 0), (π - arccos (\frac{1}{3}) + πn, 0), (arccos (- \frac{1}{3}) + πn, 0), (- arccos (- \frac{1}{3}) + π + πn, 0),

Y Intercepts

: (0, 2)

Asymptotes of

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

None

Extreme Points of

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

Maximum

(πn, 2),

Minimum

(\frac{π}{2} + πn, - 1)

Graph

Popular Examples

y=sin^2(x)+sin^4(x)+sin^6(x)

y=((log_{10}(x)))/((x^2))

f(x)=16x^4+16x-7

f(n)=(7^n)/((-8)^{n-1)}

Frequently Asked Questions (FAQ)

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