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Popular >

f(x)=cos(3x)

Solution

f (x) = cos (3 x)

Solution

Period : \frac{2 π}{3}

Domain : - \infty < x < \infty

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

X Intercepts : (\frac{π}{6} + \frac{2 πn}{3}, 0), (\frac{π}{2} + \frac{2 πn}{3}, 0), Y Intercepts : (0, 1)

Asymptotes : None

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

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 1, 1]

Solution steps

Periodicity of

cos (3 x) : \frac{2 π}{3}

Domain of

cos (3 x) : - \infty < x < \infty

Range of

cos (3 x) : - 1 \leq f (x) \leq 1

Axis interception points of

cos (3 x) :

X Intercepts

: (\frac{π}{6} + \frac{2 πn}{3}, 0), (\frac{π}{2} + \frac{2 πn}{3}, 0),

Y Intercepts

: (0, 1)

Asymptotes of

cos (3 x) :

None

Extreme Points of

cos (3 x) :

Maximum

(\frac{2 π}{3} n, 1),

Minimum

(\frac{π}{3} + \frac{2 π}{3} n, - 1)

Popular Examples

intercepts of (2x^2-5x-25)/(2x^2-5x+2)intercepts

\frac{2 x ^{2} - 5 x - 25}{2 x ^{2} - 5 x + 2}

asymptotes of f(x)=(x^2-2x+5)/(3x-2)asymptotes

f (x) = \frac{x ^{2} - 2 x + 5}{3 x - 2}

domain of f(x)=(1-6t)/(5+t)domain

f (x) = \frac{1 - 6 t}{5 + t}

distance (2,8),(12,2)distance

(2, 8), (12, 2)

inverse of f(x)=(3x+8)/(x+3)inverse

f (x) = \frac{3 x + 8}{x + 3}

Frequently Asked Questions (FAQ)

What is the f(x)=cos(3x) ?
The f(x)=cos(3x) is