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Popular >

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

Solution

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

Solution

Domain : - \infty < s < \infty

Range : - \frac{1}{11} \leq f (s) \leq 1

X Intercepts : (- 3, 0), Y Intercepts : (0, 1)

Asymptotes : Horizontal y = 0

Extreme Points : Minimum (- 6, - \frac{1}{11}), Maximum (0, 1)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{1}{11}, 1]

Solution steps

Domain of

\frac{s + 3}{s ^{2} + s + 3} : - \infty < s < \infty

Range of

\frac{s + 3}{s ^{2} + s + 3} : - \frac{1}{11} \leq f (s) \leq 1

Axis interception points of

\frac{s + 3}{s ^{2} + s + 3} :

X Intercepts

: (- 3, 0),

Y Intercepts

: (0, 1)

Asymptotes of

\frac{s + 3}{s ^{2} + s + 3} :

Horizontal

: y = 0

Extreme Points of

\frac{s + 3}{s ^{2} + s + 3} :

Minimum

(- 6, - \frac{1}{11}),

Maximum

(0, 1)

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Frequently Asked Questions (FAQ)

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