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Popular >

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

Solution

f (x) = 3 sin (2 x - \frac{π}{2}) - 3

Solution

Period : π

Domain : - \infty < x < \infty

Range : - 6 \leq f (x) \leq 0

X Intercepts : (\frac{π}{2} + πn, 0), Y Intercepts : (0, - 6)

Asymptotes : None

Extreme Points : Minimum (πn, - 6), Maximum (\frac{π}{2} + πn, 0)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 6, 0]

Solution steps

Periodicity of

3 sin (2 x - \frac{π}{2}) - 3 : π

Domain of

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

Range of

3 sin (2 x - \frac{π}{2}) - 3 : - 6 \leq f (x) \leq 0

Axis interception points of

3 sin (2 x - \frac{π}{2}) - 3 :

X Intercepts

: (\frac{π}{2} + πn, 0),

Y Intercepts

: (0, - 6)

Asymptotes of

3 sin (2 x - \frac{π}{2}) - 3 :

None

Extreme Points of

3 sin (2 x - \frac{π}{2}) - 3 :

Minimum

(πn, - 6),

Maximum

(\frac{π}{2} + πn, 0)

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Frequently Asked Questions (FAQ)

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