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Popular >

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

Solution

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

Solution

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

Range : f (x) \leq - 8 or f (x) \geq 0

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

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

Extreme Points : Maximum (- 4, - 8), Minimum (0, 0)

+1

Interval Notation

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

Range : (- \infty, - 8] \cup [0, \infty)

Solution steps

Domain of

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

Range of

\frac{x ^{3} - 2 x ^{2}}{x ^{2} - 4} : f (x) \leq - 8 or f (x) \geq 0

Axis interception points of

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

X Intercepts

: (0, 0),

Y Intercepts

: (0, 0)

Asymptotes of

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

Vertical

: x = - 2,

Slant

: y = x - 2

Extreme Points of

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

Maximum

(- 4, - 8),

Minimum

(0, 0)

Popular Examples

f (x) = - 2 x^{2} + 4 x

f (x) = 13

y = 2 x^{2} - 12 x + 16

f(x)=log_{3}(-x)

f (x) = lo g_{3} (- x)

y = 3 - 4 x

Frequently Asked Questions (FAQ)

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