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Popular >

f(x)=(x^2+7x+13)/(x+4)

Solution

f (x) = \frac{x ^{2} + 7 x + 13}{x + 4}

Solution

Domain : x < - 4 or x > - 4

Range : f (x) \leq - 3 or f (x) \geq 1

Y Intercepts : (0, \frac{13}{4})

Asymptotes : Vertical x = - 4, Slant y = x + 3

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

+1

Interval Notation

Domain : (- \infty, - 4) \cup (- 4, \infty)

Range : (- \infty, - 3] \cup [1, \infty)

Solution steps

Domain of

\frac{x ^{2} + 7 x + 13}{x + 4} : x < - 4 or x > - 4

Range of

\frac{x ^{2} + 7 x + 13}{x + 4} : f (x) \leq - 3 or f (x) \geq 1

Axis interception points of

\frac{x ^{2} + 7 x + 13}{x + 4} :

Y Intercepts

: (0, \frac{13}{4})

Asymptotes of

\frac{x ^{2} + 7 x + 13}{x + 4} :

Vertical

: x = - 4,

Slant

: y = x + 3

Extreme Points of

\frac{x ^{2} + 7 x + 13}{x + 4} :

Maximum

(- 5, - 3),

Minimum

(- 3, 1)

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Frequently Asked Questions (FAQ)

What is the f(x)=(x^2+7x+13)/(x+4) ?
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