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Popular >

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})

Popular Examples

f (- 3) = 2 x - 3

f(x)=2^{-12+3x}

f (x) = 2^{- 12 + 3 x}

f(x)=sin^2(x)-x

f (x) = sin^{2} (x) - x

g(x)=0.5x^4-2x^2+x

g (x) = 0.5 x^{4} - 2 x^{2} + x

f(x)=(e^{x^2-1})/2

f (x) = \frac{e ^{x^{2} - 1}}{2}

Frequently Asked Questions (FAQ)

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