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Popular >

f(x)=-4sin(x/2)+5

Solution

f (x) = - 4 sin (\frac{x}{2}) + 5

Solution

Period : 4 π

Domain : - \infty < x < \infty

Range : 1 \leq f (x) \leq 9

Y Intercepts : (0, 5)

Asymptotes : None

Extreme Points : Minimum (π + 4 πn, 1), Maximum (3 π + 4 πn, 9)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [1, 9]

Solution steps

Periodicity of

- 4 sin (\frac{x}{2}) + 5 : 4 π

Domain of

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

Range of

- 4 sin (\frac{x}{2}) + 5 : 1 \leq f (x) \leq 9

Axis interception points of

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

Y Intercepts

: (0, 5)

Asymptotes of

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

None

Extreme Points of

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

Minimum

(π + 4 πn, 1),

Maximum

(3 π + 4 πn, 9)

Popular Examples

f(x)=sqrt((x^2-1))

f (x) = (x^{2} - 1)

f(x)=(\sqrt[3]{x})/(\sqrt[3]{x)-1}

f(x)=x^3-6x^2+4x-24

f (x) = x^{3} - 6 x^{2} + 4 x - 24

f (x) = 4 t^{2} - 6

f(x)=4x^2+40x+93

f (x) = 4 x^{2} + 40 x + 93

Frequently Asked Questions (FAQ)

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