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Popular >

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

Solution

y = \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)

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f(x)=(x^3-4x)/(-4x^2+12x)

f (x) = \frac{x ^{3} - 4 x}{- 4 x ^{2} + 12 x}

f(x)=x^5-3x^4-5x^3+5x^2-6x+8

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f(t)=(t^2-t+1)/(t^2+1)

f (t) = \frac{t ^{2} - t + 1}{t ^{2} + 1}

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

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

Frequently Asked Questions (FAQ)

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