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Popular >

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

Solution

y = - 3 sin (\frac{π}{2} x) - 2

Solution

Period : 4

Domain : - \infty < x < \infty

Range : - 5 \leq f (x) \leq 1

X Intercepts : (- \frac{2 arcsin ( \frac{2}{3} )}{π} + 4 + 4 n, 0), (2 + \frac{2 arcsin ( \frac{2}{3} )}{π} + 4 n, 0), Y Intercepts : (0, - 2)

Asymptotes : None

Extreme Points : Minimum (1 + 4 n, - 5), Maximum (3 + 4 n, 1)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 5, 1]

Solution steps

Periodicity of

- 3 sin (\frac{π}{2} x) - 2 : 4

Domain of

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

Range of

- 3 sin (\frac{π}{2} x) - 2 : - 5 \leq f (x) \leq 1

Axis interception points of

- 3 sin (\frac{π}{2} x) - 2 :

X Intercepts

: (- \frac{2 arcsin ( \frac{2}{3} )}{π} + 4 + 4 n, 0), (2 + \frac{2 arcsin ( \frac{2}{3} )}{π} + 4 n, 0),

Y Intercepts

: (0, - 2)

Asymptotes of

- 3 sin (\frac{π}{2} x) - 2 :

None

Extreme Points of

- 3 sin (\frac{π}{2} x) - 2 :

Minimum

(1 + 4 n, - 5),

Maximum

(3 + 4 n, 1)

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Frequently Asked Questions (FAQ)

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