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Popular >

y=-2cos(3x)

Solution

y = - 2 cos (3 x)

Solution

Period : \frac{2 π}{3}

Domain : - \infty < x < \infty

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

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

Asymptotes : None

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

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 2, 2]

Solution steps

Periodicity of

- 2 cos (3 x) : \frac{2 π}{3}

Domain of

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

Range of

- 2 cos (3 x) : - 2 \leq f (x) \leq 2

Axis interception points of

- 2 cos (3 x) :

X Intercepts

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

Y Intercepts

: (0, - 2 cos (3 \cdot 0))

Asymptotes of

- 2 cos (3 x) :

None

Extreme Points of

- 2 cos (3 x) :

Minimum

(\frac{2 π}{3} n, - 2),

Maximum

(\frac{π}{3} + \frac{2 π}{3} n, 2)

Popular Examples

f(x)=x^{1/5}(x-2)

f (x) = x^{\frac{1}{5}} (x - 2)

f (g) = g^{\frac{1}{2}}

f(x)=log_{2}(xlog_{5}(x))

f (x) = lo g_{2} (x lo g_{5} (x))

f(x)= 1/((x-1)(x-3))

f (x) = \frac{1}{( x - 1 ) ( x - 3 )}

y = 8^{x} - 1

Frequently Asked Questions (FAQ)

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