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Popular >

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

Solution

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

Solution

Domain : x < 0 or x > 0

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

Intercepts : None

Asymptotes : Vertical x = 0

Extreme Points : Maximum (- 1, - \frac{2}{3}), Minimum (1, \frac{2}{3})

+1

Interval Notation

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

Range : (- \infty, - \frac{2}{3}] \cup [\frac{2}{3}, \infty)

Solution steps

Domain of

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

Range of

\frac{x ^{3}}{6} + \frac{1}{2 x} : f (x) \leq - \frac{2}{3} or f (x) \geq \frac{2}{3}

Axis interception points of

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

None

Asymptotes of

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

Vertical

: x = 0

Extreme Points of

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

Maximum

(- 1, - \frac{2}{3}),

Minimum

(1, \frac{2}{3})

Popular Examples

y = \frac{1}{3 x + 4}

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

y = x^{2} - 7 x - 18

y = 5 (2)^{x}

y = - 5 x - 6

Frequently Asked Questions (FAQ)

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