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Popular >

f(x)=(-5x^3)/(x^2-9)

Solution

f (x) = \frac{- 5 x ^{3}}{x ^{2} - 9}

Solution

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

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

Asymptotes : Vertical x = - 3, x = 3, Slant y = - 5 x

Extreme Points : Minimum (- 33, \frac{45 3}{2}), Saddle (0, 0), Maximum (33, - \frac{45 3}{2})

+1

Interval Notation

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

Solution steps

Domain of

\frac{- 5 x ^{3}}{x ^{2} - 9} : x < - 3 or - 3 < x < 3 or x > 3

Axis interception points of

\frac{- 5 x ^{3}}{x ^{2} - 9} :

X Intercepts

: (0, 0),

Y Intercepts

: (0, 0)

Asymptotes of

\frac{- 5 x ^{3}}{x ^{2} - 9} :

Vertical

: x = - 3, x = 3,

Slant

: y = - 5 x

Extreme Points of

\frac{- 5 x ^{3}}{x ^{2} - 9} :

Minimum

(- 33, \frac{45 3}{2}),

Saddle

(0, 0),

Maximum

(33, - \frac{45 3}{2})

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Frequently Asked Questions (FAQ)

What is the f(x)=(-5x^3)/(x^2-9) ?
The f(x)=(-5x^3)/(x^2-9) is