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Popular >

f(x)=(x^3)/((1+x^2)^2)

Solution

f (x) = \frac{x ^{3}}{( 1 + x ^{2} ) ^{2}}

Solution

Domain : - \infty < x < \infty

Range : - \frac{3 3}{16} \leq f (x) \leq \frac{3 3}{16}

X Intercepts : (0, 0), Y Intercepts : (0, 0)

Asymptotes : Horizontal y = 0

Extreme Points : Minimum (- 3, - \frac{3 3}{16}), Saddle (0, 0), Maximum (3, \frac{3 3}{16})

+1

Solution steps

Domain of

\frac{x ^{3}}{( 1 + x ^{2} ) ^{2}} : - \infty < x < \infty

Range of

\frac{x ^{3}}{( 1 + x ^{2} ) ^{2}} : - \frac{3 3}{16} \leq f (x) \leq \frac{3 3}{16}

Axis interception points of

\frac{x ^{3}}{( 1 + x ^{2} ) ^{2}} :

X Intercepts

: (0, 0),

Y Intercepts

: (0, 0)

Asymptotes of

\frac{x ^{3}}{( 1 + x ^{2} ) ^{2}} :

Horizontal

: y = 0

Extreme Points of

\frac{x ^{3}}{( 1 + x ^{2} ) ^{2}} :

Minimum

(- 3, - \frac{3 3}{16}),

Saddle

(0, 0),

Maximum

(3, \frac{3 3}{16})

Popular Examples

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

f (x) = \frac{2}{x ^{2} - 2 x - 3}

y = \frac{x + 1}{x + 2}

y = x^{2} - 10 x + 6

f (y) = 1 - y

y = 1.5 x + 8

Frequently Asked Questions (FAQ)

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