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Popular >

y=sin(x-pi/2)

Solution

y = sin (x - \frac{π}{2})

Solution

Period : 2 π

Domain : - \infty < x < \infty

Range : - 1 \leq f (x) \leq 1

X Intercepts : (\frac{π}{2} + 2 πn, 0), (π + \frac{π}{2} + 2 πn, 0), Y Intercepts : (0, - 1)

Asymptotes : None

Extreme Points : Minimum (2 πn, - 1), Maximum (π + 2 πn, 1)

+1

Solution steps

Periodicity of

sin (x - \frac{π}{2}) : 2 π

Domain of

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

Range of

sin (x - \frac{π}{2}) : - 1 \leq f (x) \leq 1

Axis interception points of

sin (x - \frac{π}{2}) :

X Intercepts

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

Y Intercepts

: (0, - 1)

Asymptotes of

sin (x - \frac{π}{2}) :

None

Extreme Points of

sin (x - \frac{π}{2}) :

Minimum

(2 πn, - 1),

Maximum

(π + 2 πn, 1)

Popular Examples

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f (x) = (\frac{1}{2})^{x + 1}

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

Frequently Asked Questions (FAQ)

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