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Popular Functions >

y=(-2)/((s+3))+5/((s+1))

Solution

y = \frac{- 2}{( s + 3 )} + \frac{5}{( s + 1 )}

Solution

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

Range : f (s) \leq - 10 - \frac{7}{2} or 10 - \frac{7}{2} \leq f (s) < 0 or f (s) > 0

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

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

Extreme Points : Minimum (- \frac{13 + 2 10}{3}, - \frac{7 - 2 10}{2}), Maximum (- \frac{13 - 2 10}{3}, - \frac{2 10 + 7}{2})

+1

Interval Notation

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

Range : (- \infty, - 10 - \frac{7}{2}] \cup [10 - \frac{7}{2}, 0) \cup (0, \infty)

Solution steps

Domain of

\frac{- 2}{s + 3} + \frac{5}{s + 1} : s < - 3 or - 3 < s < - 1 or s > - 1

Range of

\frac{- 2}{s + 3} + \frac{5}{s + 1} : f (s) \leq - 10 - \frac{7}{2} or 10 - \frac{7}{2} \leq f (s) < 0 or f (s) > 0

Axis interception points of

\frac{- 2}{s + 3} + \frac{5}{s + 1} :

X Intercepts

: (- \frac{13}{3}, 0),

Y Intercepts

: (0, \frac{13}{3})

Asymptotes of

\frac{- 2}{s + 3} + \frac{5}{s + 1} :

Vertical

: s = - 3, s = - 1,

Horizontal

: y = 0

Extreme Points of

\frac{- 2}{s + 3} + \frac{5}{s + 1} :

Minimum

(- \frac{13 + 2 10}{3}, - \frac{7 - 2 10}{2}),

Maximum

(- \frac{13 - 2 10}{3}, - \frac{2 10 + 7}{2})

Graph

Popular Examples

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f(x)=sqrt(x^2+5x-14)

Frequently Asked Questions (FAQ)

What is the y=(-2)/((s+3))+5/((s+1)) ?
The y=(-2)/((s+3))+5/((s+1)) is