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Popular >

f(x)=(x^4+3)/(6x)

Solution

f (x) = \frac{x ^{4} + 3}{6 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 ^{4} + 3}{6 x} : x < 0 or x > 0

Range of

\frac{x ^{4} + 3}{6 x} : f (x) \leq - \frac{2}{3} or f (x) \geq \frac{2}{3}

Axis interception points of

\frac{x ^{4} + 3}{6 x} :

None

Asymptotes of

\frac{x ^{4} + 3}{6 x} :

Vertical

: x = 0

Extreme Points of

\frac{x ^{4} + 3}{6 x} :

Maximum

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

Minimum

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

Popular Examples

f(t)=6cos(t)tan(t)

f (t) = 6 cos (t) tan (t)

f(x)=log_{10}((3+x)/(3-x))

f (x) = lo g_{10} (\frac{3 + x}{3 - x})

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

f(x)=-1/3 x+sqrt(2)

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

y=\sqrt[3]{4-9x}

Frequently Asked Questions (FAQ)

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