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Popular >

y=(x^3+8)/(x^2+5x+6)

Solution

y = \frac{x ^{3} + 8}{x ^{2} + 5 x + 6}

Solution

Domain : x < - 3 or - 3 < x < - 2 or x > - 2

Range : f (x) \leq - \frac{38 + 8 19}{19} or f (x) \geq \frac{38 - 8 19}{19}

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

Asymptotes : Vertical x = - 3, Slant y = x - 5

Extreme Points : Maximum (- 3 - 19, - 2 (4 + 19)), Minimum (- 3 + 19, 2 (19 - 4))

+1

Interval Notation

Domain : (- \infty, - 3) \cup (- 3, - 2) \cup (- 2, \infty)

Range : (- \infty, - \frac{38 + 8 19}{19}] \cup [\frac{38 - 8 19}{19}, \infty)

Solution steps

Domain of

\frac{x ^{3} + 8}{x ^{2} + 5 x + 6} : x < - 3 or - 3 < x < - 2 or x > - 2

Range of

\frac{x ^{3} + 8}{x ^{2} + 5 x + 6} : f (x) \leq - \frac{38 + 8 19}{19} or f (x) \geq \frac{38 - 8 19}{19}

Axis interception points of

\frac{x ^{3} + 8}{x ^{2} + 5 x + 6} :

Y Intercepts

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

Asymptotes of

\frac{x ^{3} + 8}{x ^{2} + 5 x + 6} :

Vertical

: x = - 3,

Slant

: y = x - 5

Extreme Points of

\frac{x ^{3} + 8}{x ^{2} + 5 x + 6} :

Maximum

(- 3 - 19, - 2 (4 + 19)),

Minimum

(- 3 + 19, 2 (19 - 4))

Popular Examples

y=(1/2)^{x-3}+1

y = (\frac{1}{2})^{x - 3} + 1

f(x)=10+3sqrt(x)

f (x) = 10 + 3 x

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

f (x) = \frac{x + 8}{6}

f(m)=m^4-45m^2+100

f (m) = m^{4} - 45 m^{2} + 100

Frequently Asked Questions (FAQ)

What is the y=(x^3+8)/(x^2+5x+6) ?
The y=(x^3+8)/(x^2+5x+6) is