What is the f(s)=((s^2+8s+20))/((s^3+9s^2+23s+15)) ?

The f(s)=((s^2+8s+20))/((s^3+9s^2+23s+15)) is

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f(s)=((s^2+8s+20))/((s^3+9s^2+23s+15))

f (s) = \frac{( s ^{2} + 8 s + 20 )}{( s ^{3} + 9 s ^{2} + 23 s + 15 )}

Domain : s < - 5 or - 5 < s < - 3 or - 3 < s < - 1 or s > - 1

Range : f (s) < 0 or f (s) > 0

Y Intercepts : (0, \frac{4}{3})

Asymptotes : Vertical s = - 5, s = - 3, s = - 1, Horizontal y = 0

Extreme Points : Minimum (- 4.12640 \dots, 1.30539 \dots), Maximum (- 2.07819 \dots, - 2.64927 \dots)

Interval Notation

Domain : (- \infty, - 5) \cup (- 5, - 3) \cup (- 3, - 1) \cup (- 1, \infty)

Range : (- \infty, 0) \cup (0, \infty)

Solution steps

Domain of

\frac{s ^{2} + 8 s + 20}{s ^{3} + 9 s ^{2} + 23 s + 15} : s < - 5 or - 5 < s < - 3 or - 3 < s < - 1 or s > - 1

Range of

\frac{s ^{2} + 8 s + 20}{s ^{3} + 9 s ^{2} + 23 s + 15} : f (s) < 0 or f (s) > 0

Axis interception points of

\frac{s ^{2} + 8 s + 20}{s ^{3} + 9 s ^{2} + 23 s + 15} :

Y Intercepts

: (0, \frac{4}{3})

Asymptotes of

\frac{s ^{2} + 8 s + 20}{s ^{3} + 9 s ^{2} + 23 s + 15} :

Vertical

: s = - 5, s = - 3, s = - 1,

Horizontal

: y = 0

Extreme Points of

\frac{s ^{2} + 8 s + 20}{s ^{3} + 9 s ^{2} + 23 s + 15} :

Minimum

(- 4.12640 \dots, 1.30539 \dots),

Maximum

(- 2.07819 \dots, - 2.64927 \dots)

f (s) = s^{2} - 6 s + 13

f (x) = sec^{4} (x) + sec^{2} (x) tan^{2} (x) - 2 tan^{4} (x)

y = - 4 ∣ x ∣

y = tan (4 x)

y = x^{2} - 8 x + 10

What is the f(s)=((s^2+8s+20))/((s^3+9s^2+23s+15)) ?
The f(s)=((s^2+8s+20))/((s^3+9s^2+23s+15)) is