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Popular >

y=10sin(5x+(3pi)/4)

Solution

y = 10 sin (5 x + \frac{3 π}{4})

Solution

Period : \frac{2 π}{5}

Domain : - \infty < x < \infty

Range : - 10 \leq f (x) \leq 10

X Intercepts : (\frac{π}{4} + \frac{2 πn}{5}, 0), (\frac{π}{20} + \frac{2 πn}{5}, 0), Y Intercepts : (0, 52)

Asymptotes : None

Extreme Points : Minimum (\frac{3 π}{20} + \frac{2 π}{5} n, - 10), Maximum (\frac{7 π}{20} + \frac{2 π}{5} n, 10)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 10, 10]

Solution steps

Periodicity of

10 sin (5 x + \frac{3 π}{4}) : \frac{2 π}{5}

Domain of

10 sin (5 x + \frac{3 π}{4}) : - \infty < x < \infty

Range of

10 sin (5 x + \frac{3 π}{4}) : - 10 \leq f (x) \leq 10

Axis interception points of

10 sin (5 x + \frac{3 π}{4}) :

X Intercepts

: (\frac{π}{4} + \frac{2 πn}{5}, 0), (\frac{π}{20} + \frac{2 πn}{5}, 0),

Y Intercepts

: (0, 52)

Asymptotes of

10 sin (5 x + \frac{3 π}{4}) :

None

Extreme Points of

10 sin (5 x + \frac{3 π}{4}) :

Minimum

(\frac{3 π}{20} + \frac{2 π}{5} n, - 10),

Maximum

(\frac{7 π}{20} + \frac{2 π}{5} n, 10)

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Frequently Asked Questions (FAQ)

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