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Popular Functions >

y=-3sin(5x-10)

Solution

y = - 3 sin (5 x - 1 0^{\circ})

Solution

Period : \frac{2 π}{5}

Domain : - \infty < x < \infty

Range : - 3 \leq f (x) \leq 3

X Intercepts : (\frac{π}{90} + \frac{2 πn}{5}, 0), (\frac{19 π}{90} + \frac{2 πn}{5}, 0), Y Intercepts : (0, - 3 sin (5 \cdot 0 - \frac{π}{18}))

Asymptotes : None

Extreme Points : Minimum (\frac{π}{9} + \frac{2 π}{5} n, - 3), Maximum (\frac{14 π}{45} + \frac{2 π}{5} n, 3)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 3, 3]

Solution steps

Convert

10

degrees to radians:

\frac{π}{18}

- 3 sin (5 x - \frac{π}{18})

Periodicity of

- 3 sin (5 x - \frac{π}{18}) : \frac{2 π}{5}

Domain of

- 3 sin (5 x - \frac{π}{18}) : - \infty < x < \infty

Range of

- 3 sin (5 x - \frac{π}{18}) : - 3 \leq f (x) \leq 3

Axis interception points of

- 3 sin (5 x - \frac{π}{18}) :

X Intercepts

: (\frac{π}{90} + \frac{2 πn}{5}, 0), (\frac{19 π}{90} + \frac{2 πn}{5}, 0),

Y Intercepts

: (0, - 3 sin (5 \cdot 0 - \frac{π}{18}))

Asymptotes of

- 3 sin (5 x - \frac{π}{18}) :

None

Extreme Points of

- 3 sin (5 x - \frac{π}{18}) :

Minimum

(\frac{π}{9} + \frac{2 π}{5} n, - 3),

Maximum

(\frac{14 π}{45} + \frac{2 π}{5} n, 3)

Graph

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Frequently Asked Questions (FAQ)

What is the y=-3sin(5x-10) ?
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