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Popular >

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

Solution

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

Solution

Domain : x < - 1 or - 1 < x < 3 or x > 3

Range : - \infty < f (x) < \infty

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

Asymptotes : Vertical x = - 1, x = 3, Slant y = x + 2

Extreme Points : Maximum (- 2.05265 \dots, - 2.39794 \dots), Minimum (5.89520 \dots, 10.85351 \dots)

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Interval Notation

Domain : (- \infty, - 1) \cup (- 1, 3) \cup (3, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

\frac{x ^{3} + 2 x}{x ^{2} - 2 x - 3} : x < - 1 or - 1 < x < 3 or x > 3

Range of

\frac{x ^{3} + 2 x}{x ^{2} - 2 x - 3} : - \infty < f (x) < \infty

Axis interception points of

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

X Intercepts

: (0, 0),

Y Intercepts

: (0, 0)

Asymptotes of

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

Vertical

: x = - 1, x = 3,

Slant

: y = x + 2

Extreme Points of

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

Maximum

(- 2.05265 \dots, - 2.39794 \dots),

Minimum

(5.89520 \dots, 10.85351 \dots)

Popular Examples

f (x) = ∣ - x + 1 ∣

f(x)=ln((e^x+1)/(e^x-1))

f (x) = ln (\frac{e ^{x} + 1}{e ^{x} - 1})

y=arccot((x^3-1)/(x^3+1))

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

f(x)=x^3+3x^2+3x+2

f (x) = x^{3} + 3 x^{2} + 3 x + 2

y = 3 x^{3} - 3 x

Frequently Asked Questions (FAQ)

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