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Popular >

f(pi/6)=-4cos(-3x+2pi)-1

Solution

f (\frac{π}{6}) = - 4 cos (- 3 x + 2 π) - 1

Solution

Period : \frac{2 π}{3}

Domain : - \infty < x < \infty

Range : - 5 \leq f (x) \leq 3

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

Asymptotes : None

Extreme Points : Minimum (\frac{2 π}{3} n, - 5), Maximum (\frac{π}{3} + \frac{2 π}{3} n, 3)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 5, 3]

Solution steps

Periodicity of

- 4 cos (- 3 x + 2 π) - 1 : \frac{2 π}{3}

Domain of

- 4 cos (- 3 x + 2 π) - 1 : - \infty < x < \infty

Range of

- 4 cos (- 3 x + 2 π) - 1 : - 5 \leq f (x) \leq 3

Axis interception points of

- 4 cos (- 3 x + 2 π) - 1 :

X Intercepts

: (\frac{2 π}{3} - \frac{arccos ( - \frac{1}{4} )}{3} + \frac{2 πn}{3}, 0), (\frac{arccos ( - \frac{1}{4} )}{3} + \frac{2 πn}{3}, 0),

Y Intercepts

: (0, - 5)

Asymptotes of

- 4 cos (- 3 x + 2 π) - 1 :

None

Extreme Points of

- 4 cos (- 3 x + 2 π) - 1 :

Minimum

(\frac{2 π}{3} n, - 5),

Maximum

(\frac{π}{3} + \frac{2 π}{3} n, 3)

Popular Examples

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f (m) = 3 m + 7

Frequently Asked Questions (FAQ)

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