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Popular Calculus >

f(x)=5sin(x)

Solution

f (x) = 5 sin (x)

Solution

Period : 2 π

Domain : - \infty < x < \infty

Range : - 5 \leq f (x) \leq 5

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

Asymptotes : None

Extreme Points : Maximum (\frac{π}{2} + 2 πn, 5), Minimum (\frac{3 π}{2} + 2 πn, - 5)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 5, 5]

Solution steps

Periodicity of

5 sin (x) : 2 π

Domain of

5 sin (x) : - \infty < x < \infty

Range of

5 sin (x) : - 5 \leq f (x) \leq 5

Axis interception points of

5 sin (x) :

X Intercepts

: (2 πn, 0), (π + 2 πn, 0),

Y Intercepts

: (0, 0)

Asymptotes of

5 sin (x) :

None

Extreme Points of

5 sin (x) :

Maximum

(\frac{π}{2} + 2 πn, 5),

Minimum

(\frac{3 π}{2} + 2 πn, - 5)

Graph

Popular Examples

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d er i v a t i v e f (x) = e^{- 5 x^{4}}

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a re a y = 4 x + 2, 0, 4

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in v erse l a pl a ce \frac{1}{s + 1}

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t an g e n t f (x) = 6 tan (x), at x = \frac{π}{6}

xy^'=y+sqrt(x^2-y^2)

x y^{^{'}} = y + x^{2} - y^{2}

Frequently Asked Questions (FAQ)

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