en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

g(x)=10cos(6x-1)-4

Solution

g (x) = 10 cos (6 x - 1) - 4

Solution

Period : \frac{π}{3}

Domain : - \infty < x < \infty

Range : - 14 \leq f (x) \leq 6

X Intercepts : (\frac{1}{6} + \frac{arccos ( \frac{2}{5} )}{6} + \frac{πn}{3}, 0), (\frac{π}{3} + \frac{1}{6} + \frac{πn}{3} - \frac{arccos ( \frac{2}{5} )}{6}, 0), Y Intercepts : (0, 10 cos (6 \cdot 0 - 1) - 4)

Asymptotes : None

Extreme Points : Maximum (\frac{1}{6} + \frac{π}{3} n, 6), Minimum (\frac{π}{6} + \frac{1}{6} + \frac{π}{3} n, - 14)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 14, 6]

Solution steps

Periodicity of

10 cos (6 x - 1) - 4 : \frac{π}{3}

Domain of

10 cos (6 x - 1) - 4 : - \infty < x < \infty

Range of

10 cos (6 x - 1) - 4 : - 14 \leq f (x) \leq 6

Axis interception points of

10 cos (6 x - 1) - 4 :

X Intercepts

: (\frac{1}{6} + \frac{arccos ( \frac{2}{5} )}{6} + \frac{πn}{3}, 0), (\frac{π}{3} + \frac{1}{6} + \frac{πn}{3} - \frac{arccos ( \frac{2}{5} )}{6}, 0),

Y Intercepts

: (0, 10 cos (6 \cdot 0 - 1) - 4)

Asymptotes of

10 cos (6 x - 1) - 4 :

None

Extreme Points of

10 cos (6 x - 1) - 4 :

Maximum

(\frac{1}{6} + \frac{π}{3} n, 6),

Minimum

(\frac{π}{6} + \frac{1}{6} + \frac{π}{3} n, - 14)

Popular Examples

y=(2x)/(x^2-16)

y = \frac{2 x}{x ^{2} - 16}

f (x) = \cdot + 1

f (x) = 160 x - 2 x^{2}

f(x)=6x^2+24x-3

f (x) = 6 x^{2} + 24 x - 3

f(y)=sqrt(-y+20)

f (y) = - y + 20

Frequently Asked Questions (FAQ)

What is the g(x)=10cos(6x-1)-4 ?
The g(x)=10cos(6x-1)-4 is