What is the y=((x^3+4))/((x+1)) ?

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y=((x^3+4))/((x+1))

y = \frac{( x ^{3} + 4 )}{( x + 1 )}

Domain : x < - 1 or x > - 1

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

Asymptotes : Vertical x = - 1

Extreme Points : Minimum (0.91082 \dots, 2.48877 \dots)

Interval Notation

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

Range : (- \infty, \infty)

Solution steps

Domain of

\frac{x ^{3} + 4}{x + 1} : x < - 1 or x > - 1

Range of

\frac{x ^{3} + 4}{x + 1} : - \infty < f (x) < \infty

Axis interception points of

\frac{x ^{3} + 4}{x + 1} :

X Intercepts

Y Intercepts

: (0, 4)

Asymptotes of

\frac{x ^{3} + 4}{x + 1} :

Vertical

: x = - 1

Extreme Points of

\frac{x ^{3} + 4}{x + 1} :

Minimum

(0.91082 \dots, 2.48877 \dots)

y = \frac{1}{4 \cdot tan ^{4} ( x )}

y = \frac{( a ^{2} + x ^{2} )}{x}

f (a) = \frac{a ^{2} + 1}{a ^{2}}

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

f (x) = 3 x^{3} + 5 x^{2} - 16 x - 2