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Popular >

f(x)=(x^2+7x+11)/(x+2)

Solution

f (x) = \frac{x ^{2} + 7 x + 11}{x + 2}

Solution

Domain : x < - 2 or x > - 2

Range : f (x) \leq 1 or f (x) \geq 5

X Intercepts : (\frac{- 7 + 5}{2}, 0), (\frac{- 7 - 5}{2}, 0), Y Intercepts : (0, \frac{11}{2})

Asymptotes : Vertical x = - 2, Slant y = x + 5

Extreme Points : Maximum (- 3, 1), Minimum (- 1, 5)

+1

Interval Notation

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

Range : (- \infty, 1] \cup [5, \infty)

Solution steps

Domain of

\frac{x ^{2} + 7 x + 11}{x + 2} : x < - 2 or x > - 2

Range of

\frac{x ^{2} + 7 x + 11}{x + 2} : f (x) \leq 1 or f (x) \geq 5

Axis interception points of

\frac{x ^{2} + 7 x + 11}{x + 2} :

X Intercepts

: (\frac{- 7 + 5}{2}, 0), (\frac{- 7 - 5}{2}, 0),

Y Intercepts

: (0, \frac{11}{2})

Asymptotes of

\frac{x ^{2} + 7 x + 11}{x + 2} :

Vertical

: x = - 2,

Slant

: y = x + 5

Extreme Points of

\frac{x ^{2} + 7 x + 11}{x + 2} :

Maximum

(- 3, 1),

Minimum

(- 1, 5)

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Frequently Asked Questions (FAQ)

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