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Popular >

y=-4-7cos(12x)

Solution

y = - 4 - 7 cos (12 x)

Solution

Period : \frac{π}{6}

Domain : - \infty < x < \infty

Range : - 11 \leq f (x) \leq 3

X Intercepts : (\frac{arccos ( - \frac{4}{7} )}{12} + \frac{πn}{6}, 0), (- \frac{arccos ( - \frac{4}{7} )}{12} + \frac{π}{6} + \frac{πn}{6}, 0), Y Intercepts : (0, - 11)

Asymptotes : None

Extreme Points : Minimum (\frac{π}{6} n, - 11), Maximum (\frac{π}{12} + \frac{π}{6} n, 3)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 11, 3]

Solution steps

Periodicity of

- 4 - 7 cos (12 x) : \frac{π}{6}

Domain of

- 4 - 7 cos (12 x) : - \infty < x < \infty

Range of

- 4 - 7 cos (12 x) : - 11 \leq f (x) \leq 3

Axis interception points of

- 4 - 7 cos (12 x) :

X Intercepts

: (\frac{arccos ( - \frac{4}{7} )}{12} + \frac{πn}{6}, 0), (- \frac{arccos ( - \frac{4}{7} )}{12} + \frac{π}{6} + \frac{πn}{6}, 0),

Y Intercepts

: (0, - 11)

Asymptotes of

- 4 - 7 cos (12 x) :

None

Extreme Points of

- 4 - 7 cos (12 x) :

Minimum

(\frac{π}{6} n, - 11),

Maximum

(\frac{π}{12} + \frac{π}{6} n, 3)

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Frequently Asked Questions (FAQ)

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