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Popular >

y=-4cos(6x)

Solution

y = - 4 cos (6 x)

Solution

Period : \frac{π}{3}

Domain : - \infty < x < \infty

Range : - 4 \leq f (x) \leq 4

X Intercepts : (\frac{π}{12} + \frac{πn}{3}, 0), (\frac{π}{4} + \frac{πn}{3}, 0), Y Intercepts : (0, - 4)

Asymptotes : None

Extreme Points : Minimum (\frac{π}{3} n, - 4), Maximum (\frac{π}{6} + \frac{π}{3} n, 4)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 4, 4]

Solution steps

Periodicity of

- 4 cos (6 x) : \frac{π}{3}

Domain of

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

Range of

- 4 cos (6 x) : - 4 \leq f (x) \leq 4

Axis interception points of

- 4 cos (6 x) :

X Intercepts

: (\frac{π}{12} + \frac{πn}{3}, 0), (\frac{π}{4} + \frac{πn}{3}, 0),

Y Intercepts

: (0, - 4)

Asymptotes of

- 4 cos (6 x) :

None

Extreme Points of

- 4 cos (6 x) :

Minimum

(\frac{π}{3} n, - 4),

Maximum

(\frac{π}{6} + \frac{π}{3} n, 4)

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Frequently Asked Questions (FAQ)

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