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Popular >

y=2cos(3x-pi/2)

Solution

y = 2 cos (3 x - \frac{π}{2})

Solution

Period : \frac{2 π}{3}

Domain : - \infty < x < \infty

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

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

Asymptotes : None

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

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 2, 2]

Solution steps

Periodicity of

2 cos (3 x - \frac{π}{2}) : \frac{2 π}{3}

Domain of

2 cos (3 x - \frac{π}{2}) : - \infty < x < \infty

Range of

2 cos (3 x - \frac{π}{2}) : - 2 \leq f (x) \leq 2

Axis interception points of

2 cos (3 x - \frac{π}{2}) :

X Intercepts

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

Y Intercepts

: (0, 0)

Asymptotes of

2 cos (3 x - \frac{π}{2}) :

None

Extreme Points of

2 cos (3 x - \frac{π}{2}) :

Maximum

(\frac{π}{6} + \frac{2 π}{3} n, 2),

Minimum

(\frac{π}{2} + \frac{2 π}{3} n, - 2)

Popular Examples

f (x) = x^{0.8}

y= 1/2 (x-4)^2-2

y = \frac{1}{2} (x - 4)^{2} - 2

f(x)=-(x-4)^2+5

f (x) = - (x - 4)^{2} + 5

y = x^{3} - 9 x^{2} + 24 x

y=(x^2+4)^2(2x^3-1)^3

y = (x^{2} + 4)^{2} (2 x^{3} - 1)^{3}

Frequently Asked Questions (FAQ)

What is the y=2cos(3x-pi/2) ?
The y=2cos(3x-pi/2) is