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Popular >

f(x)=-1.5sin((2x)/7-pi/7)-3

Solution

f (x) = - 1.5 sin (\frac{2 x}{7} - \frac{π}{7}) - 3

Solution

Period : 7 π

Domain : - \infty < x < \infty

Range : - 4.5 \leq f (x) \leq - 1.5

Y Intercepts : (0, - \frac{3}{2} sin (\frac{2 \cdot 0}{7} - \frac{π}{7}) - 3)

Asymptotes : None

Extreme Points : Minimum (7.06858 \dots + 7 πn, - 4.5), Maximum (18.06415 \dots + 7 πn, - 1.5)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 4.5, - 1.5]

Solution steps

Periodicity of

- 1.5 sin (\frac{2 x}{7} - \frac{π}{7}) - 3 : 7 π

Domain of

- 1.5 sin (\frac{2 x}{7} - \frac{π}{7}) - 3 : - \infty < x < \infty

Range of

- 1.5 sin (\frac{2 x}{7} - \frac{π}{7}) - 3 : - 4.5 \leq f (x) \leq - 1.5

Axis interception points of

- 1.5 sin (\frac{2 x}{7} - \frac{π}{7}) - 3 :

Y Intercepts

: (0, - \frac{3}{2} sin (\frac{2 \cdot 0}{7} - \frac{π}{7}) - 3)

Asymptotes of

- 1.5 sin (\frac{2 x}{7} - \frac{π}{7}) - 3 :

None

Extreme Points of

- 1.5 sin (\frac{2 x}{7} - \frac{π}{7}) - 3 :

Minimum

(7.06858 \dots + 7 πn, - 4.5),

Maximum

(18.06415 \dots + 7 πn, - 1.5)

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Frequently Asked Questions (FAQ)

What is the f(x)=-1.5sin((2x)/7-pi/7)-3 ?
The f(x)=-1.5sin((2x)/7-pi/7)-3 is