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Popular >

f(t)=2sin(t)

Solution

f (t) = 2 sin (t)

Solution

Period : 2 π

Domain : - \infty < t < \infty

Range : - 2 \leq f (t) \leq 2

X Intercepts : (2 πn, 0), (π + 2 πn, 0), Y Intercepts : (0, 0)

Asymptotes : None

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

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 2, 2]

Solution steps

Periodicity of

2 sin (t) : 2 π

Domain of

2 sin (t) : - \infty < t < \infty

Range of

2 sin (t) : - 2 \leq f (t) \leq 2

Axis interception points of

2 sin (t) :

X Intercepts

: (2 πn, 0), (π + 2 πn, 0),

Y Intercepts

: (0, 0)

Asymptotes of

2 sin (t) :

None

Extreme Points of

2 sin (t) :

Maximum

(\frac{π}{2} + 2 πn, 2),

Minimum

(\frac{3 π}{2} + 2 πn, - 2)

Popular Examples

tangent of f(x)=(3-2x)/(3+2x)tangent of

f (x) = \frac{3 - 2 x}{3 + 2 x}

derivative of x^{7cos(x)}derivative of

x^{7 c o s (x)}

limit as x approaches 6 of 2x+4

x \to 6 lim (2 x + 4)

derivative of sqrt(8x)-sqrt(2x)derivative of

8 x - 2 x

limit as x approaches pi of csc(x)

x \to π lim (csc (x))

Frequently Asked Questions (FAQ)

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