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Popular >

f(x)=7sin(3x)

Solution

f (x) = 7 sin (3 x)

Solution

Period : \frac{2 π}{3}

Domain : - \infty < x < \infty

Range : - 7 \leq f (x) \leq 7

X Intercepts : (\frac{2 πn}{3}, 0), (\frac{π}{3} + \frac{2 πn}{3}, 0), Y Intercepts : (0, 0)

Asymptotes : None

Extreme Points : Maximum (\frac{π}{6} + \frac{2 π}{3} n, 7), Minimum (\frac{π}{2} + \frac{2 π}{3} n, - 7)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 7, 7]

Solution steps

Periodicity of

7 sin (3 x) : \frac{2 π}{3}

Domain of

7 sin (3 x) : - \infty < x < \infty

Range of

7 sin (3 x) : - 7 \leq f (x) \leq 7

Axis interception points of

7 sin (3 x) :

X Intercepts

: (\frac{2 πn}{3}, 0), (\frac{π}{3} + \frac{2 πn}{3}, 0),

Y Intercepts

: (0, 0)

Asymptotes of

7 sin (3 x) :

None

Extreme Points of

7 sin (3 x) :

Maximum

(\frac{π}{6} + \frac{2 π}{3} n, 7),

Minimum

(\frac{π}{2} + \frac{2 π}{3} n, - 7)

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Frequently Asked Questions (FAQ)

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