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Popular >

f(x)=100sin(1000x+50)

Solution

f (x) = 100 sin (1000 x + 50)

Solution

Period : \frac{π}{500}

Domain : - \infty < x < \infty

Range : - 100 \leq f (x) \leq 100

X Intercepts : (- \frac{1}{20} + \frac{2 π}{125} + \frac{πn}{500}, 0), (\frac{17 π}{1000} - \frac{1}{20} + \frac{πn}{500}, 0), Y Intercepts : (0, 100 sin (1000 \cdot 0 + 50))

Asymptotes : None

Extreme Points : Maximum (\frac{- 100 + 33 π}{2000} + \frac{π}{500} n, 100), Minimum (\frac{- 100 + 35 π}{2000} + \frac{π}{500} n, - 100)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 100, 100]

Solution steps

Periodicity of

100 sin (1000 x + 50) : \frac{π}{500}

Domain of

100 sin (1000 x + 50) : - \infty < x < \infty

Range of

100 sin (1000 x + 50) : - 100 \leq f (x) \leq 100

Axis interception points of

100 sin (1000 x + 50) :

X Intercepts

: (- \frac{1}{20} + \frac{2 π}{125} + \frac{πn}{500}, 0), (\frac{17 π}{1000} - \frac{1}{20} + \frac{πn}{500}, 0),

Y Intercepts

: (0, 100 sin (1000 \cdot 0 + 50))

Asymptotes of

100 sin (1000 x + 50) :

None

Extreme Points of

100 sin (1000 x + 50) :

Maximum

(\frac{- 100 + 33 π}{2000} + \frac{π}{500} n, 100),

Minimum

(\frac{- 100 + 35 π}{2000} + \frac{π}{500} n, - 100)

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Frequently Asked Questions (FAQ)

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