en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

y=((x^3))/((4-7x^2))

Solution

y = \frac{( x ^{3} )}{( 4 - 7 x ^{2} )}

Solution

Domain : x < - \frac{2}{7} or - \frac{2}{7} < x < \frac{2}{7} or x > \frac{2}{7}

Range : - \infty < f (x) < \infty

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

Asymptotes : Vertical x = - \frac{2}{7}, x = \frac{2}{7}, Slant y = - \frac{1}{7} x

Extreme Points : Minimum (- \frac{2 3}{7}, \frac{3 3}{7 7}), Saddle (0, 0), Maximum (\frac{2 3}{7}, - \frac{3 3}{7 7})

+1

Interval Notation

Domain : (- \infty, - \frac{2}{7}) \cup (- \frac{2}{7}, \frac{2}{7}) \cup (\frac{2}{7}, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

\frac{x ^{3}}{4 - 7 x ^{2}} : x < - \frac{2}{7} or - \frac{2}{7} < x < \frac{2}{7} or x > \frac{2}{7}

Range of

\frac{x ^{3}}{4 - 7 x ^{2}} : - \infty < f (x) < \infty

Axis interception points of

\frac{x ^{3}}{4 - 7 x ^{2}} :

X Intercepts

: (0, 0),

Y Intercepts

: (0, 0)

Asymptotes of

\frac{x ^{3}}{4 - 7 x ^{2}} :

Vertical

: x = - \frac{2}{7}, x = \frac{2}{7},

Slant

: y = - \frac{1}{7} x

Extreme Points of

\frac{x ^{3}}{4 - 7 x ^{2}} :

Minimum

(- \frac{2 3}{7}, \frac{3 3}{7 7}),

Saddle

(0, 0),

Maximum

(\frac{2 3}{7}, - \frac{3 3}{7 7})

Popular Examples

f(x)=(x^7+1)/(x^7)

f (x) = \frac{x ^{7} + 1}{x ^{7}}

f=(16n^{0.12}n)

f = (16 n^{0.12} n)

y=ln((5x-1)/(x+4))

y = ln (\frac{5 x - 1}{x + 4})

f(x)= 2/(9x(3-x))

f (x) = \frac{2}{9 x ( 3 - x )}

y = 6 x^{2} - 2 x + 9

Frequently Asked Questions (FAQ)

What is the y=((x^3))/((4-7x^2)) ?
The y=((x^3))/((4-7x^2)) is