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Popular >

f(x)=-10sin(2x-pi/2)

Solution

f (x) = - 10 sin (2 x - \frac{π}{2})

Solution

Period : π

Domain : - \infty < x < \infty

Range : - 10 \leq f (x) \leq 10

X Intercepts : (\frac{π}{4} + πn, 0), (\frac{3 π}{4} + πn, 0), Y Intercepts : (0, 10)

Asymptotes : None

Extreme Points : Maximum (πn, 10), Minimum (\frac{π}{2} + πn, - 10)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 10, 10]

Solution steps

Periodicity of

- 10 sin (2 x - \frac{π}{2}) : π

Domain of

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

Range of

- 10 sin (2 x - \frac{π}{2}) : - 10 \leq f (x) \leq 10

Axis interception points of

- 10 sin (2 x - \frac{π}{2}) :

X Intercepts

: (\frac{π}{4} + πn, 0), (\frac{3 π}{4} + πn, 0),

Y Intercepts

: (0, 10)

Asymptotes of

- 10 sin (2 x - \frac{π}{2}) :

None

Extreme Points of

- 10 sin (2 x - \frac{π}{2}) :

Maximum

(πn, 10),

Minimum

(\frac{π}{2} + πn, - 10)

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Frequently Asked Questions (FAQ)

What is the f(x)=-10sin(2x-pi/2) ?
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