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Popular >

f(s)=(3s+5)/(s^2+4s+13)

Solution

f (s) = \frac{3 s + 5}{s ^{2} + 4 s + 13}

Solution

Domain : - \infty < s < \infty

Range : - \frac{41}{9 2} - \frac{1}{18} \leq f (s) \leq \frac{41}{9 2} - \frac{1}{18}

X Intercepts : (- \frac{5}{3}, 0), Y Intercepts : (0, \frac{5}{13})

Asymptotes : Horizontal y = 0

Extreme Points : Minimum (- \frac{5 + 82}{3}, - \frac{82 + 1}{18}), Maximum (\frac{82 - 5}{3}, \frac{82 - 1}{18})

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{41}{9 2} - \frac{1}{18}, \frac{41}{9 2} - \frac{1}{18}]

Solution steps

Domain of

\frac{3 s + 5}{s ^{2} + 4 s + 13} : - \infty < s < \infty

Range of

\frac{3 s + 5}{s ^{2} + 4 s + 13} : - \frac{41}{9 2} - \frac{1}{18} \leq f (s) \leq \frac{41}{9 2} - \frac{1}{18}

Axis interception points of

\frac{3 s + 5}{s ^{2} + 4 s + 13} :

X Intercepts

: (- \frac{5}{3}, 0),

Y Intercepts

: (0, \frac{5}{13})

Asymptotes of

\frac{3 s + 5}{s ^{2} + 4 s + 13} :

Horizontal

: y = 0

Extreme Points of

\frac{3 s + 5}{s ^{2} + 4 s + 13} :

Minimum

(- \frac{5 + 82}{3}, - \frac{82 + 1}{18}),

Maximum

(\frac{82 - 5}{3}, \frac{82 - 1}{18})

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Frequently Asked Questions (FAQ)

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