What is the f(x)=(x^2*sqrt(4*pi^2-x^2))/(24*pi^2) ?

The f(x)=(x^2*sqrt(4*pi^2-x^2))/(24*pi^2) is

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f(x)=(x^2sqrt(4pi^2-x^2))/(24*pi^2)

f (x) = \frac{x ^{2} \cdot 4 \cdot π ^{2} - x ^{2}}{24 \cdot π ^{2}}

Domain : - 2 π \leq x \leq 2 π

Range : 0 \leq f (x) \leq \frac{2 π}{9 3}

X Intercepts : (0, 0), (2 π, 0), (- 2 π, 0), Y Intercepts : (0, 0)

Asymptotes : None

Extreme Points : Minimum (- 2 π, 0), Maximum (- \frac{2 2 π}{3}, \frac{2 π}{9 3}), Minimum (0, 0), Maximum (\frac{2 2 π}{3}, \frac{2 π}{9 3}), Minimum (2 π, 0)

Interval Notation

Domain : [- 2 π, 2 π]

Range : [0, \frac{2 π}{9 3}]

Solution steps

Domain of

\frac{x ^{2} \cdot 4 \cdot π ^{2} - x ^{2}}{24 \cdot π ^{2}} : - 2 π \leq x \leq 2 π

Range of

\frac{x ^{2} \cdot 4 \cdot π ^{2} - x ^{2}}{24 \cdot π ^{2}} : 0 \leq f (x) \leq \frac{2 π}{9 3}

Axis interception points of

\frac{x ^{2} \cdot 4 \cdot π ^{2} - x ^{2}}{24 \cdot π ^{2}} :

X Intercepts

: (0, 0), (2 π, 0), (- 2 π, 0),

Y Intercepts

: (0, 0)

Asymptotes of

\frac{x ^{2} \cdot 4 \cdot π ^{2} - x ^{2}}{24 \cdot π ^{2}} :

None

Extreme Points of

\frac{x ^{2} \cdot 4 \cdot π ^{2} - x ^{2}}{24 \cdot π ^{2}} :

Minimum

(- 2 π, 0),

Maximum

(- \frac{2 2 π}{3}, \frac{2 π}{9 3}),

Minimum

(0, 0),

Maximum

(\frac{2 2 π}{3}, \frac{2 π}{9 3}),

Minimum

(2 π, 0)

f (x) = lo g_{2} (8)

f (x) = 4 x^{2} + 5 x + 6

P (x) = 4 x^{5} - 8 x^{4} - 61 x^{3} + 146 x^{2} + 15 x - 36

y = 14 - x

y = 3 x^{2} + 5 x + 3

What is the f(x)=(x^2*sqrt(4*pi^2-x^2))/(24*pi^2) ?
The f(x)=(x^2*sqrt(4*pi^2-x^2))/(24*pi^2) is