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Popular >

y=(sin(2x))/4

Solution

y = \frac{sin ( 2 x )}{4}

Solution

Period : π

Domain : - \infty < x < \infty

Range : - \frac{1}{4} \leq f (x) \leq \frac{1}{4}

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

Asymptotes : None

Extreme Points : Maximum (\frac{π}{4} + πn, \frac{1}{4}), Minimum (\frac{3 π}{4} + πn, - \frac{1}{4})

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{1}{4}, \frac{1}{4}]

Solution steps

Periodicity of

\frac{sin ( 2 x )}{4} : π

Domain of

\frac{sin ( 2 x )}{4} : - \infty < x < \infty

Range of

\frac{sin ( 2 x )}{4} : - \frac{1}{4} \leq f (x) \leq \frac{1}{4}

Axis interception points of

\frac{sin ( 2 x )}{4} :

X Intercepts

: (πn, 0), (\frac{π}{2} + πn, 0),

Y Intercepts

: (0, 0)

Asymptotes of

\frac{sin ( 2 x )}{4} :

None

Extreme Points of

\frac{sin ( 2 x )}{4} :

Maximum

(\frac{π}{4} + πn, \frac{1}{4}),

Minimum

(\frac{3 π}{4} + πn, - \frac{1}{4})

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f (x) = 25 x + 625 x^{2} - 3 x + 95

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f(x)=2x^3-3x^2+4x-1

f (x) = 2 x^{3} - 3 x^{2} + 4 x - 1

y = 7 x + 11

Frequently Asked Questions (FAQ)

What is the y=(sin(2x))/4 ?
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