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Popular >

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

Solution

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

Solution

Domain : x < 0 or x > 0

Range : f (x) \leq - 3 or f (x) \geq 3

Intercepts : None

Asymptotes : Vertical x = 0, Slant y = - \frac{3}{2} x

Extreme Points : Minimum (- \frac{1}{3}, 3), Maximum (\frac{1}{3}, - 3)

+1

Interval Notation

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

Range : (- \infty, - 3] \cup [3, \infty)

Solution steps

Domain of

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

Range of

\frac{- 1 - 3 x ^{2}}{2 x} : f (x) \leq - 3 or f (x) \geq 3

Axis interception points of

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

None

Asymptotes of

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

Vertical

: x = 0,

Slant

: y = - \frac{3}{2} x

Extreme Points of

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

Minimum

(- \frac{1}{3}, 3),

Maximum

(\frac{1}{3}, - 3)

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Frequently Asked Questions (FAQ)

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