What is the f(s)=((s^4+2s^3+3s^2+4s+s))/((s(s+1))) ?

The f(s)=((s^4+2s^3+3s^2+4s+s))/((s(s+1))) is

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f(s)=((s^4+2s^3+3s^2+4s+s))/((s(s+1)))

f (s) = \frac{( s ^{4} + 2 s ^{3} + 3 s ^{2} + 4 s + s )}{( s ( s + 1 ) )}

Domain : s < - 1 or - 1 < s < 0 or s > 0

X Intercepts : (- 1.84373 \dots, 0)

Asymptotes : Vertical s = - 1

Extreme Points : Minimum (0.33794 \dots, 4.69439 \dots)

Interval Notation

Domain : (- \infty, - 1) \cup (- 1, 0) \cup (0, \infty)

Solution steps

Domain of

\frac{s ^{4} + 2 s ^{3} + 3 s ^{2} + 4 s + s}{s ( s + 1 )} : s < - 1 or - 1 < s < 0 or s > 0

Axis interception points of

\frac{s ^{4} + 2 s ^{3} + 3 s ^{2} + 4 s + s}{s ( s + 1 )} :

X Intercepts

: (- 1.84373 \dots, 0)

Asymptotes of

\frac{s ^{4} + 2 s ^{3} + 3 s ^{2} + 4 s + s}{s ( s + 1 )} :

Vertical

: s = - 1

Extreme Points of

\frac{s ^{4} + 2 s ^{3} + 3 s ^{2} + 4 s + s}{s ( s + 1 )} :

Minimum

(0.33794 \dots, 4.69439 \dots)

y = 5 + 2 t \frac{1}{2} + 3 t \frac{1}{3}

f (k) = 2 k + 3

y = - \frac{x}{3}

y = - 2 x^{2} - 10 x

g (s) = \frac{5 ( 10 s + 1 )}{s ( s + 1 ) ( 100 s + 1 ) ( 0.5 s + 1 )}

What is the f(s)=((s^4+2s^3+3s^2+4s+s))/((s(s+1))) ?
The f(s)=((s^4+2s^3+3s^2+4s+s))/((s(s+1))) is