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Popular >

F(u)=-3sin(2u+3.1416)

Solution

F (u) = - 3 sin (2 u + 3.1416)

Solution

Period : π

Domain : - \infty < u < \infty

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

X Intercepts : (1.57079 \dots + πn, 0), (πn, 0), Y Intercepts : (0, - 3 sin (2 \cdot 0 + \frac{3927}{1250}))

Asymptotes : None

Extreme Points : Maximum (\frac{1.57078 \dots}{2} + πn, 3), Minimum (\frac{1.57078 \dots + π}{2} + πn, - 3)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 3, 3]

Solution steps

Periodicity of

- 3 sin (2 u + 3.1416) : π

Domain of

- 3 sin (2 u + 3.1416) : - \infty < u < \infty

Range of

- 3 sin (2 u + 3.1416) : - 3 \leq f (u) \leq 3

Axis interception points of

- 3 sin (2 u + 3.1416) :

X Intercepts

: (1.57079 \dots + πn, 0), (πn, 0),

Y Intercepts

: (0, - 3 sin (2 \cdot 0 + \frac{3927}{1250}))

Asymptotes of

- 3 sin (2 u + 3.1416) :

None

Extreme Points of

- 3 sin (2 u + 3.1416) :

Maximum

(\frac{1.57078 \dots}{2} + πn, 3),

Minimum

(\frac{1.57078 \dots + π}{2} + πn, - 3)

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Frequently Asked Questions (FAQ)

What is the F(u)=-3sin(2u+3.1416) ?
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