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Popular >

y= 3/4 cos(2x+(2pi)/3)

Solution

y = \frac{3}{4} cos (2 x + \frac{2 π}{3})

Solution

Period : π

Domain : - \infty < x < \infty

Range : - \frac{3}{4} \leq f (x) \leq \frac{3}{4}

X Intercepts : (\frac{11 π}{12} + πn, 0), (\frac{5 π}{12} + πn, 0), Y Intercepts : (0, - \frac{3}{8})

Asymptotes : None

Extreme Points : Minimum (\frac{π}{6} + πn, - \frac{3}{4}), Maximum (\frac{2 π}{3} + πn, \frac{3}{4})

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{3}{4}, \frac{3}{4}]

Solution steps

Periodicity of

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

Domain of

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

Range of

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

Axis interception points of

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

X Intercepts

: (\frac{11 π}{12} + πn, 0), (\frac{5 π}{12} + πn, 0),

Y Intercepts

: (0, - \frac{3}{8})

Asymptotes of

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

None

Extreme Points of

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

Minimum

(\frac{π}{6} + πn, - \frac{3}{4}),

Maximum

(\frac{2 π}{3} + πn, \frac{3}{4})

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Frequently Asked Questions (FAQ)

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