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Popular >

y=(4x^2+12x)/(x+7)

Solution

y = \frac{4 x ^{2} + 12 x}{x + 7}

Solution

Domain : x < - 7 or x > - 7

Range : f (x) \leq - 167 - 44 or f (x) \geq 167 - 44

X Intercepts : (0, 0), (- 3, 0), Y Intercepts : (0, 0)

Asymptotes : Vertical x = - 7, Slant y = 4 x - 16

Extreme Points : Maximum (- 7 - 27, - \frac{4 ( 28 + 11 7 )}{7}), Minimum (- 7 + 27, \frac{4 ( 28 - 11 7 )}{7})

+1

Interval Notation

Domain : (- \infty, - 7) \cup (- 7, \infty)

Range : (- \infty, - 167 - 44] \cup [167 - 44, \infty)

Solution steps

Domain of

\frac{4 x ^{2} + 12 x}{x + 7} : x < - 7 or x > - 7

Range of

\frac{4 x ^{2} + 12 x}{x + 7} : f (x) \leq - 167 - 44 or f (x) \geq 167 - 44

Axis interception points of

\frac{4 x ^{2} + 12 x}{x + 7} :

X Intercepts

: (0, 0), (- 3, 0),

Y Intercepts

: (0, 0)

Asymptotes of

\frac{4 x ^{2} + 12 x}{x + 7} :

Vertical

: x = - 7,

Slant

: y = 4 x - 16

Extreme Points of

\frac{4 x ^{2} + 12 x}{x + 7} :

Maximum

(- 7 - 27, - \frac{4 ( 28 + 11 7 )}{7}),

Minimum

(- 7 + 27, \frac{4 ( 28 - 11 7 )}{7})

Popular Examples

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Frequently Asked Questions (FAQ)

What is the y=(4x^2+12x)/(x+7) ?
The y=(4x^2+12x)/(x+7) is