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Popular >

f(x)=-5sin(1/3 x+(2pi)/3)

Solution

f (x) = - 5 sin (\frac{1}{3} x + \frac{2 π}{3})

Solution

Period : 6 π

Domain : - \infty < x < \infty

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

X Intercepts : (4 π + 6 πn, 0), (π + 6 πn, 0), Y Intercepts : (0, - \frac{5 3}{2})

Asymptotes : None

Extreme Points : Maximum (\frac{5 π}{2} + 6 πn, 5), Minimum (\frac{11 π}{2} + 6 πn, - 5)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 5, 5]

Solution steps

Periodicity of

- 5 sin (\frac{1}{3} x + \frac{2 π}{3}) : 6 π

Domain of

- 5 sin (\frac{1}{3} x + \frac{2 π}{3}) : - \infty < x < \infty

Range of

- 5 sin (\frac{1}{3} x + \frac{2 π}{3}) : - 5 \leq f (x) \leq 5

Axis interception points of

- 5 sin (\frac{1}{3} x + \frac{2 π}{3}) :

X Intercepts

: (4 π + 6 πn, 0), (π + 6 πn, 0),

Y Intercepts

: (0, - \frac{5 3}{2})

Asymptotes of

- 5 sin (\frac{1}{3} x + \frac{2 π}{3}) :

None

Extreme Points of

- 5 sin (\frac{1}{3} x + \frac{2 π}{3}) :

Maximum

(\frac{5 π}{2} + 6 πn, 5),

Minimum

(\frac{11 π}{2} + 6 πn, - 5)

Popular Examples

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f (n) = 2 n^{2} - 1

Frequently Asked Questions (FAQ)

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