What is the f(x)=((x^3+x^2+x+1))/(|x+1|) ?

The f(x)=((x^3+x^2+x+1))/(|x+1|) is

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f(x)=((x^3+x^2+x+1))/(|x+1|)

f (x) = \frac{( x ^{3} + x ^{2} + x + 1 )}{∣ x + 1 ∣}

Domain : x < - 1 or x > - 1

Range : f (x) < - 2 or f (x) \geq 1

Y Intercepts : (0, 1)

Asymptotes : None

Extreme Points : Minimum (0, 1)

Solution steps

Domain of

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

Range of

\frac{x ^{3} + x ^{2} + x + 1}{∣ x + 1 ∣} : f (x) < - 2 or f (x) \geq 1

Axis interception points of

\frac{x ^{3} + x ^{2} + x + 1}{∣ x + 1 ∣} :

Y Intercepts

: (0, 1)

Asymptotes of

\frac{x ^{3} + x ^{2} + x + 1}{∣ x + 1 ∣} :

None

Extreme Points of

\frac{x ^{3} + x ^{2} + x + 1}{∣ x + 1 ∣} :

Minimum

(0, 1)

f (x) = \frac{x ^{2} - 4 x - 5}{x - 5}

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

f (v) = sin (2 arcsin (4 v))

f (x) = \frac{1}{2} x + \frac{3}{5}

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