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Popular >

y=3sin(x-pi/2)

Solution

y = 3 sin (x - \frac{π}{2})

Solution

Period : 2 π

Domain : - \infty < x < \infty

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

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

Asymptotes : None

Extreme Points : Minimum (2 πn, - 3), Maximum (π + 2 πn, 3)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 3, 3]

Solution steps

Periodicity of

3 sin (x - \frac{π}{2}) : 2 π

Domain of

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

Range of

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

Axis interception points of

3 sin (x - \frac{π}{2}) :

X Intercepts

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

Y Intercepts

: (0, - 3)

Asymptotes of

3 sin (x - \frac{π}{2}) :

None

Extreme Points of

3 sin (x - \frac{π}{2}) :

Minimum

(2 πn, - 3),

Maximum

(π + 2 πn, 3)

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f (x) = 3 x^{2} - 18 x + 31

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Frequently Asked Questions (FAQ)

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