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Popular >

f(x)=-2sin(5x-pi/2)+3

Solution

f (x) = - 2 sin (5 x - \frac{π}{2}) + 3

Solution

Period : \frac{2 π}{5}

Domain : - \infty < x < \infty

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

Y Intercepts : (0, 5)

Asymptotes : None

Extreme Points : Maximum (\frac{2 π}{5} n, 5), Minimum (\frac{π}{5} + \frac{2 π}{5} n, 1)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [1, 5]

Solution steps

Periodicity of

- 2 sin (5 x - \frac{π}{2}) + 3 : \frac{2 π}{5}

Domain of

- 2 sin (5 x - \frac{π}{2}) + 3 : - \infty < x < \infty

Range of

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

Axis interception points of

- 2 sin (5 x - \frac{π}{2}) + 3 :

Y Intercepts

: (0, 5)

Asymptotes of

- 2 sin (5 x - \frac{π}{2}) + 3 :

None

Extreme Points of

- 2 sin (5 x - \frac{π}{2}) + 3 :

Maximum

(\frac{2 π}{5} n, 5),

Minimum

(\frac{π}{5} + \frac{2 π}{5} n, 1)

Popular Examples

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

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

f (x) = x^{2} + 7 x - 11

f (x) = (x - 2)^{2} - 7

y = 2 - x

f (x) = x^{2} + 7 x + 49

Frequently Asked Questions (FAQ)

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