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Popular >

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

Solution

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

Solution

Domain : x < - 2 or - 2 < x < 1 or x > 1

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

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

Asymptotes : Vertical x = - 2, x = 1, Slant y = x - 1

Extreme Points : Maximum (- 1 - 7, - \frac{2 ( 10 + 7 7 )}{9}), Saddle (0, 0), Minimum (- 1 + 7, \frac{2 ( 7 7 - 10 )}{9})

+1

Interval Notation

Domain : (- \infty, - 2) \cup (- 2, 1) \cup (1, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

\frac{x ^{3}}{x ^{2} + x - 2} : x < - 2 or - 2 < x < 1 or x > 1

Range of

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

Axis interception points of

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

X Intercepts

: (0, 0),

Y Intercepts

: (0, 0)

Asymptotes of

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

Vertical

: x = - 2, x = 1,

Slant

: y = x - 1

Extreme Points of

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

Maximum

(- 1 - 7, - \frac{2 ( 10 + 7 7 )}{9}),

Saddle

(0, 0),

Minimum

(- 1 + 7, \frac{2 ( 7 7 - 10 )}{9})

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f(x)=20-10x+x^2

f (x) = 20 - 10 x + x^{2}

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f(x)=sin(x)cos(x)dx

f (x) = sin (x) cos (x) d x

Frequently Asked Questions (FAQ)

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