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Popular >

y=(x^3-3x^2)/(x^2-9)

Solution

y = \frac{x ^{3} - 3 x ^{2}}{x ^{2} - 9}

Solution

Domain : x < - 3 or - 3 < x < 3 or x > 3

Range : f (x) \leq - 12 or f (x) \geq 0

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

Asymptotes : Vertical x = - 3, Slant y = x - 3

Extreme Points : Maximum (- 6, - 12), Minimum (0, 0)

+1

Interval Notation

Domain : (- \infty, - 3) \cup (- 3, 3) \cup (3, \infty)

Range : (- \infty, - 12] \cup [0, \infty)

Solution steps

Domain of

\frac{x ^{3} - 3 x ^{2}}{x ^{2} - 9} : x < - 3 or - 3 < x < 3 or x > 3

Range of

\frac{x ^{3} - 3 x ^{2}}{x ^{2} - 9} : f (x) \leq - 12 or f (x) \geq 0

Axis interception points of

\frac{x ^{3} - 3 x ^{2}}{x ^{2} - 9} :

X Intercepts

: (0, 0),

Y Intercepts

: (0, 0)

Asymptotes of

\frac{x ^{3} - 3 x ^{2}}{x ^{2} - 9} :

Vertical

: x = - 3,

Slant

: y = x - 3

Extreme Points of

\frac{x ^{3} - 3 x ^{2}}{x ^{2} - 9} :

Maximum

(- 6, - 12),

Minimum

(0, 0)

Popular Examples

f (x) = (x + 3)^{2} - 9

f (x) = (x + 3)^{2} - 6

f(m)=m^2-41m+400

f (m) = m^{2} - 41 m + 400

y = - \frac{5}{4} x + 2

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

f (x) = x^{3} + 2 x^{2} - x

Frequently Asked Questions (FAQ)

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The y=(x^3-3x^2)/(x^2-9) is