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Popular >

y=sin(1/3 x)

Solution

y = sin (\frac{1}{3} x)

Solution

Period : 6 π

Domain : - \infty < x < \infty

Range : - 1 \leq f (x) \leq 1

X Intercepts : (6 πn, 0), (3 π + 6 πn, 0), Y Intercepts : (0, 0)

Asymptotes : None

Extreme Points : Maximum (\frac{3 π}{2} + 6 πn, 1), Minimum (\frac{9 π}{2} + 6 πn, - 1)

+1

Solution steps

Periodicity of

sin (\frac{1}{3} x) : 6 π

Domain of

sin (\frac{1}{3} x) : - \infty < x < \infty

Range of

sin (\frac{1}{3} x) : - 1 \leq f (x) \leq 1

Axis interception points of

sin (\frac{1}{3} x) :

X Intercepts

: (6 πn, 0), (3 π + 6 πn, 0),

Y Intercepts

: (0, 0)

Asymptotes of

sin (\frac{1}{3} x) :

None

Extreme Points of

sin (\frac{1}{3} x) :

Maximum

(\frac{3 π}{2} + 6 πn, 1),

Minimum

(\frac{9 π}{2} + 6 πn, - 1)

Popular Examples

y = x^{80}

y = \frac{1}{- 4} x + \frac{7}{4}

y=0.6x^3-9.9143x^2+52.271x-83.966

y = 0.6 x^{3} - 9.9143 x^{2} + 52.271 x - 83.966

f (x) = ∣ x - 7 ∣ - 3

f (c) = c^{\frac{6}{5}}

Frequently Asked Questions (FAQ)

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