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Popular >

y= 1/5 cos(x)

Solution

y = \frac{1}{5} cos (x)

Solution

Period : 2 π

Domain : - \infty < x < \infty

Range : - \frac{1}{5} \leq f (x) \leq \frac{1}{5}

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

Asymptotes : None

Extreme Points : Maximum (2 πn, \frac{1}{5}), Minimum (π + 2 πn, - \frac{1}{5})

+1

Solution steps

Periodicity of

\frac{1}{5} cos (x) : 2 π

Domain of

\frac{1}{5} cos (x) : - \infty < x < \infty

Range of

\frac{1}{5} cos (x) : - \frac{1}{5} \leq f (x) \leq \frac{1}{5}

Axis interception points of

\frac{1}{5} cos (x) :

X Intercepts

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

Y Intercepts

: (0, \frac{1}{5})

Asymptotes of

\frac{1}{5} cos (x) :

None

Extreme Points of

\frac{1}{5} cos (x) :

Maximum

(2 πn, \frac{1}{5}),

Minimum

(π + 2 πn, - \frac{1}{5})

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