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Popular >

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

Solution

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

Solution

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

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

X Intercepts : (0.31290 \dots, 0), Y Intercepts : (0, \frac{1}{4})

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

Extreme Points : Maximum (- 3.76674 \dots, - 11.69845 \dots), Minimum (3.69709 \dots, 11.49699 \dots)

+1

Interval Notation

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

Range : (- \infty, \infty)

Solution steps

Domain of

\frac{2 x ^{3} + 3 x - 1}{x ^{2} - 4} : x < - 2 or - 2 < x < 2 or x > 2

Range of

\frac{2 x ^{3} + 3 x - 1}{x ^{2} - 4} : - \infty < f (x) < \infty

Axis interception points of

\frac{2 x ^{3} + 3 x - 1}{x ^{2} - 4} :

X Intercepts

: (0.31290 \dots, 0),

Y Intercepts

: (0, \frac{1}{4})

Asymptotes of

\frac{2 x ^{3} + 3 x - 1}{x ^{2} - 4} :

Vertical

: x = - 2, x = 2,

Slant

: y = 2 x

Extreme Points of

\frac{2 x ^{3} + 3 x - 1}{x ^{2} - 4} :

Maximum

(- 3.76674 \dots, - 11.69845 \dots),

Minimum

(3.69709 \dots, 11.49699 \dots)

Popular Examples

y=(2x^2-3x+1)/(2x^2+8x+6)

y = \frac{2 x ^{2} - 3 x + 1}{2 x ^{2} + 8 x + 6}

y=-0.0556x^2+1.6661x-0.1612

y = - 0.0556 x^{2} + 1.6661 x - 0.1612

f(x)=(x^4}{12}+\frac{x^3)/6-x^2+x

f (x) = \frac{x ^{4}}{12} + \frac{x ^{3}}{6} - x^{2} + x

f (x) = \frac{x ^{6}}{2}

y = - 2 (x + 3) (x - 2)

Frequently Asked Questions (FAQ)

What is the f(x)=(2x^3+3x-1)/(x^2-4) ?
The f(x)=(2x^3+3x-1)/(x^2-4) is