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Popular >

y=3sin(x+pi/3)

Solution

y = 3 sin (x + \frac{π}{3})

Solution

Period : 2 π

Domain : - \infty < x < \infty

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

X Intercepts : (\frac{5 π}{3} + 2 πn, 0), (π - \frac{π}{3} + 2 πn, 0), Y Intercepts : (0, \frac{3 3}{2})

Asymptotes : None

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

+1

Solution steps

Periodicity of

3 sin (x + \frac{π}{3}) : 2 π

Domain of

3 sin (x + \frac{π}{3}) : - \infty < x < \infty

Range of

3 sin (x + \frac{π}{3}) : - 3 \leq f (x) \leq 3

Axis interception points of

3 sin (x + \frac{π}{3}) :

X Intercepts

: (\frac{5 π}{3} + 2 πn, 0), (π - \frac{π}{3} + 2 πn, 0),

Y Intercepts

: (0, \frac{3 3}{2})

Asymptotes of

3 sin (x + \frac{π}{3}) :

None

Extreme Points of

3 sin (x + \frac{π}{3}) :

Maximum

(\frac{π}{6} + 2 πn, 3),

Minimum

(\frac{7 π}{6} + 2 πn, - 3)

Popular Examples

y=2(5x+1)+3(5x+3)

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y= 6/((sqrt(8-x))-2)

y = \frac{6}{( 8 - x ) - 2}

y = 3 sin (x + \frac{π}{2})

f(x)={2x-x^2:x<= 2,x+1:x>2}

f (x) = {2 x - x^{2} : x \leq 2, x + 1 : x > 2}

f(x)=(x+2)/(x^2+2x-15)

f (x) = \frac{x + 2}{x ^{2} + 2 x - 15}

Frequently Asked Questions (FAQ)

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