en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

f(x)=-3cos(pi/3 x+pi/2)+2

Solution

f (x) = - 3 cos (\frac{π}{3} x + \frac{π}{2}) + 2

Solution

Period : 6

Domain : - \infty < x < \infty

Range : - 1 \leq f (x) \leq 5

X Intercepts : (\frac{9}{2} + \frac{3 arccos ( \frac{2}{3} )}{π} + 6 n, 0), (\frac{9}{2} - \frac{3 arccos ( \frac{2}{3} )}{π} + 6 n, 0), Y Intercepts : (0, 2)

Asymptotes : None

Extreme Points : Maximum (\frac{3}{2} + 6 n, 5), Minimum (\frac{9}{2} + 6 n, - 1)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 1, 5]

Solution steps

Periodicity of

- 3 cos (\frac{π}{3} x + \frac{π}{2}) + 2 : 6

Domain of

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

Range of

- 3 cos (\frac{π}{3} x + \frac{π}{2}) + 2 : - 1 \leq f (x) \leq 5

Axis interception points of

- 3 cos (\frac{π}{3} x + \frac{π}{2}) + 2 :

X Intercepts

: (\frac{9}{2} + \frac{3 arccos ( \frac{2}{3} )}{π} + 6 n, 0), (\frac{9}{2} - \frac{3 arccos ( \frac{2}{3} )}{π} + 6 n, 0),

Y Intercepts

: (0, 2)

Asymptotes of

- 3 cos (\frac{π}{3} x + \frac{π}{2}) + 2 :

None

Extreme Points of

- 3 cos (\frac{π}{3} x + \frac{π}{2}) + 2 :

Maximum

(\frac{3}{2} + 6 n, 5),

Minimum

(\frac{9}{2} + 6 n, - 1)

Popular Examples

f(x)=(x+3)/(2x^2-6)

f (x) = \frac{x + 3}{2 x ^{2} - 6}

f(x)=log_{45}(x)

f (x) = lo g_{45} (x)

f(x)=csc^6(x)-3cot^2(x)csc^2(x)-cot^6(x)

f (x) = csc^{6} (x) - 3 cot^{2} (x) csc^{2} (x) - cot^{6} (x)

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

f(x)=3x^2+12x+3

f (x) = 3 x^{2} + 12 x + 3

Frequently Asked Questions (FAQ)

What is the f(x)=-3cos(pi/3 x+pi/2)+2 ?
The f(x)=-3cos(pi/3 x+pi/2)+2 is