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Popular >

f(x)=(3x^4+6x^2-1)/(x^3)

Solution

f (x) = \frac{3 x ^{4} + 6 x ^{2} - 1}{x ^{3}}

Solution

Domain : x < 0 or x > 0

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

X Intercepts : \frac{- 3 + 2}{3}, 0, - \frac{- 3 + 2}{3}, 0

Asymptotes : Vertical x = 0, Slant y = 3 x

Extreme Points : Saddle (- 1, - 8), Saddle (1, 8)

+1

Interval Notation

Domain : (- \infty, 0) \cup (0, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

\frac{3 x ^{4} + 6 x ^{2} - 1}{x ^{3}} : x < 0 or x > 0

Range of

\frac{3 x ^{4} + 6 x ^{2} - 1}{x ^{3}} : - \infty < f (x) < \infty

Axis interception points of

\frac{3 x ^{4} + 6 x ^{2} - 1}{x ^{3}} :

X Intercepts

: \frac{- 3 + 2}{3}, 0, - \frac{- 3 + 2}{3}, 0

Asymptotes of

\frac{3 x ^{4} + 6 x ^{2} - 1}{x ^{3}} :

Vertical

: x = 0,

Slant

: y = 3 x

Extreme Points of

\frac{3 x ^{4} + 6 x ^{2} - 1}{x ^{3}} :

Saddle

(- 1, - 8),

Saddle

(1, 8)

Popular Examples

f(x)=(-x)/(x+9)

f (x) = \frac{- x}{x + 9}

f (X) = 12 X - 65

f(x)=(sin(x))^2+(cos(x))^2

f (x) = (sin (x))^{2} + (cos (x))^{2}

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

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

f(x)=2x^2+20x+53

f (x) = 2 x^{2} + 20 x + 53

Frequently Asked Questions (FAQ)

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