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Popular >

f(x)= 5/4 cos(4x+pi/2)

Solution

f (x) = \frac{5}{4} cos (4 x + \frac{π}{2})

Solution

Period : \frac{π}{2}

Domain : - \infty < x < \infty

Range : - \frac{5}{4} \leq f (x) \leq \frac{5}{4}

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

Asymptotes : None

Extreme Points : Minimum (\frac{π}{8} + \frac{π}{2} n, - \frac{5}{4}), Maximum (\frac{3 π}{8} + \frac{π}{2} n, \frac{5}{4})

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Solution steps

Periodicity of

\frac{5}{4} cos (4 x + \frac{π}{2}) : \frac{π}{2}

Domain of

\frac{5}{4} cos (4 x + \frac{π}{2}) : - \infty < x < \infty

Range of

\frac{5}{4} cos (4 x + \frac{π}{2}) : - \frac{5}{4} \leq f (x) \leq \frac{5}{4}

Axis interception points of

\frac{5}{4} cos (4 x + \frac{π}{2}) :

X Intercepts

: (\frac{πn}{2}, 0), (\frac{π}{4} + \frac{πn}{2}, 0),

Y Intercepts

: (0, 0)

Asymptotes of

\frac{5}{4} cos (4 x + \frac{π}{2}) :

None

Extreme Points of

\frac{5}{4} cos (4 x + \frac{π}{2}) :

Minimum

(\frac{π}{8} + \frac{π}{2} n, - \frac{5}{4}),

Maximum

(\frac{3 π}{8} + \frac{π}{2} n, \frac{5}{4})

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Frequently Asked Questions (FAQ)

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