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Popular >

Y(x)=(x^3)/(-x^2+4)

Solution

Y (x) = \frac{x ^{3}}{- x ^{2} + 4}

Solution

Domain : x < - 2 or - 2 < x < 2 or x > 2

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

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

Asymptotes : Vertical x = - 2, x = 2, Slant y = - x

Extreme Points : Minimum (- 23, 33), Saddle (0, 0), Maximum (23, - 33)

+1

Interval Notation

Domain : (- \infty, - 2) \cup (- 2, 2) \cup (2, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

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

Range of

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

Axis interception points of

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

X Intercepts

: (0, 0),

Y Intercepts

: (0, 0)

Asymptotes of

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

Vertical

: x = - 2, x = 2,

Slant

: y = - x

Extreme Points of

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

Minimum

(- 23, 33),

Saddle

(0, 0),

Maximum

(23, - 33)

Popular Examples

y = x^{2} - 4 x - 8

f (x) = \frac{x - 1}{5}

f(x)=sin^2(2x)cos^2(2x)

f (x) = sin^{2} (2 x) cos^{2} (2 x)

f(x)=(x^2-1)(x^2-9)

f (x) = (x^{2} - 1) (x^{2} - 9)

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

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

Frequently Asked Questions (FAQ)

What is the Y(x)=(x^3)/(-x^2+4) ?
The Y(x)=(x^3)/(-x^2+4) is