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Popular >

y=(2x^3)/(x^2-4)

Solution

y = \frac{2 x ^{3}}{x ^{2} - 4}

Solution

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

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

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

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

Extreme Points : Maximum (- 23, - 63), Saddle (0, 0), Minimum (23, 63)

+1

Interval Notation

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

Range : (- \infty, \infty)

Solution steps

Domain of

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

Range of

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

Axis interception points of

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

X Intercepts

: (0, 0),

Y Intercepts

: (0, 0)

Asymptotes of

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

Vertical

: x = - 2, x = 2,

Slant

: y = 2 x

Extreme Points of

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

Maximum

(- 23, - 63),

Saddle

(0, 0),

Minimum

(23, 63)

Popular Examples

f(x)=x^4+34x^2+225

f (x) = x^{4} + 34 x^{2} + 225

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

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

f (x) = ∣ x + 1 ∣ + ∣ x ∣

y= 1/(x(x-3)^2)

y = \frac{1}{x ( x - 3 ) ^{2}}

y = - 2 x^{2} - 12 x - 10

Frequently Asked Questions (FAQ)

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