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Popular >

f(x)=cos(1-3x)

Solution

f (x) = cos (1 - 3 x)

Solution

Period : \frac{2 π}{3}

Domain : - \infty < x < \infty

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

X Intercepts : (\frac{1}{3} + \frac{π}{2} + \frac{2 πn}{3}, 0), (\frac{1}{3} + \frac{π}{6} + \frac{2 πn}{3}, 0), Y Intercepts : (0, cos (1))

Asymptotes : None

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

+1

Solution steps

Periodicity of

cos (1 - 3 x) : \frac{2 π}{3}

Domain of

cos (1 - 3 x) : - \infty < x < \infty

Range of

cos (1 - 3 x) : - 1 \leq f (x) \leq 1

Axis interception points of

cos (1 - 3 x) :

X Intercepts

: (\frac{1}{3} + \frac{π}{2} + \frac{2 πn}{3}, 0), (\frac{1}{3} + \frac{π}{6} + \frac{2 πn}{3}, 0),

Y Intercepts

: (0, cos (1))

Asymptotes of

cos (1 - 3 x) :

None

Extreme Points of

cos (1 - 3 x) :

Maximum

(\frac{1}{3} + \frac{2 π}{3} n, 1),

Minimum

(\frac{π + 1}{3} + \frac{2 π}{3} n, - 1)

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Frequently Asked Questions (FAQ)

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