What is the f(x)=(x^3+2x^2+7)/(x^4+x^3+x) ?

The f(x)=(x^3+2x^2+7)/(x^4+x^3+x) is

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f(x)=(x^3+2x^2+7)/(x^4+x^3+x)

f (x) = \frac{x ^{3} + 2 x ^{2} + 7}{x ^{4} + x ^{3} + x}

Domain : x < - 1.46557 \dots or - 1.46557 \dots < x < 0 or x > 0

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

X Intercepts : (- 2.85736 \dots, 0)

Asymptotes : Vertical x = - 1.46557 \dots, x = 0, Horizontal y = 0

Extreme Points : Minimum (- 4.59644 \dots, - 0.13885 \dots), Maximum (- 0.97747 \dots, - 7.98886 \dots)

Interval Notation

Domain : (- \infty, - 1.46557 \dots) \cup (- 1.46557 \dots, 0) \cup (0, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

\frac{x ^{3} + 2 x ^{2} + 7}{x ^{4} + x ^{3} + x} : x < - 1.46557 \dots or - 1.46557 \dots < x < 0 or x > 0

Range of

\frac{x ^{3} + 2 x ^{2} + 7}{x ^{4} + x ^{3} + x} : - \infty < f (x) < \infty

Axis interception points of

\frac{x ^{3} + 2 x ^{2} + 7}{x ^{4} + x ^{3} + x} :

X Intercepts

: (- 2.85736 \dots, 0)

Asymptotes of

\frac{x ^{3} + 2 x ^{2} + 7}{x ^{4} + x ^{3} + x} :

Vertical

: x = - 1.46557 \dots, x = 0,

Horizontal

: y = 0

Extreme Points of

\frac{x ^{3} + 2 x ^{2} + 7}{x ^{4} + x ^{3} + x} :

Minimum

(- 4.59644 \dots, - 0.13885 \dots),

Maximum

(- 0.97747 \dots, - 7.98886 \dots)

y = ln (2 - x)

f (x) = - x - \frac{4 ln ( x )}{x}

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

f (x) = \frac{x + 1}{2 x - 4}

What is the f(x)=(x^3+2x^2+7)/(x^4+x^3+x) ?
The f(x)=(x^3+2x^2+7)/(x^4+x^3+x) is