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Popular >

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

Solution

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

Solution

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

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

X Intercepts : (0, 0), (1, 0), Y Intercepts : (0, 0)

Asymptotes : Vertical x = - 3, x = 3, Slant y = x - 1

Extreme Points : Maximum (- 5.50195 \dots, - 9.25293 \dots), Minimum (0, 0), Maximum (0.67822 \dots, 0.01733 \dots), Minimum (4.82373 \dots, 6.23560 \dots)

+1

Interval Notation

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

Range : (- \infty, \infty)

Solution steps

Domain of

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

Range of

\frac{x ^{3} - x ^{2}}{x ^{2} - 9} : - \infty < f (x) < \infty

Axis interception points of

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

X Intercepts

: (0, 0), (1, 0),

Y Intercepts

: (0, 0)

Asymptotes of

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

Vertical

: x = - 3, x = 3,

Slant

: y = x - 1

Extreme Points of

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

Maximum

(- 5.50195 \dots, - 9.25293 \dots),

Minimum

(0, 0),

Maximum

(0.67822 \dots, 0.01733 \dots),

Minimum

(4.82373 \dots, 6.23560 \dots)

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Frequently Asked Questions (FAQ)

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