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Popular >

f(x)=(x^3+8)/(x^2-4)

Solution

f (x) = \frac{x ^{3} + 8}{x ^{2} - 4}

Solution

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

Range : f (x) \leq - 2 or f (x) \geq 6

Y Intercepts : (0, - 2)

Asymptotes : Vertical x = 2, Slant y = x

Extreme Points : Maximum (0, - 2), Minimum (4, 6)

+1

Interval Notation

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

Range : (- \infty, - 2] \cup [6, \infty)

Solution steps

Domain of

\frac{x ^{3} + 8}{x ^{2} - 4} : x < - 2 or - 2 < x < 2 or x > 2

Range of

\frac{x ^{3} + 8}{x ^{2} - 4} : f (x) \leq - 2 or f (x) \geq 6

Axis interception points of

\frac{x ^{3} + 8}{x ^{2} - 4} :

Y Intercepts

: (0, - 2)

Asymptotes of

\frac{x ^{3} + 8}{x ^{2} - 4} :

Vertical

: x = 2,

Slant

: y = x

Extreme Points of

\frac{x ^{3} + 8}{x ^{2} - 4} :

Maximum

(0, - 2),

Minimum

(4, 6)

Graph

Popular Examples

f(x)=(x^2+3x-4)/(x+1)

f (x) = \frac{x ^{2} + 3 x - 4}{x + 1}

f(x)=\sqrt[7]{5x^2+7x-3}

f (x) = 7 5 x^{2} + 7 x - 3

derivative of sec((pix/4))

\frac{d}{d x} (sec (\frac{π x}{4}))

y = - x^{3} + 6 x^{2} - 9 x

f(x)=sin(x/(x^2+1))

f (x) = sin (\frac{x}{x ^{2} + 1})

Frequently Asked Questions (FAQ)

What is the f(x)=(x^3+8)/(x^2-4) ?
The f(x)=(x^3+8)/(x^2-4) is