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Popular >

f(x)= 5/(x^3-4x)

Solution

f (x) = \frac{5}{x ^{3} - 4 x}

Solution

Domain : x < - 2 or - 2 < x < 0 or 0 < x < 2 or x > 2

Range : f (x) < 0 or f (x) > 0

Intercepts : None

Asymptotes : Vertical x = - 2, x = 0, x = 2, Horizontal y = 0

Extreme Points : Minimum (- \frac{2}{3}, \frac{15 3}{16}), Maximum (\frac{2}{3}, - \frac{15 3}{16})

+1

Interval Notation

Domain : (- \infty, - 2) \cup (- 2, 0) \cup (0, 2) \cup (2, \infty)

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

Solution steps

Domain of

\frac{5}{x ^{3} - 4 x} : x < - 2 or - 2 < x < 0 or 0 < x < 2 or x > 2

Range of

\frac{5}{x ^{3} - 4 x} : f (x) < 0 or f (x) > 0

Axis interception points of

\frac{5}{x ^{3} - 4 x} :

None

Asymptotes of

\frac{5}{x ^{3} - 4 x} :

Vertical

: x = - 2, x = 0, x = 2,

Horizontal

: y = 0

Extreme Points of

\frac{5}{x ^{3} - 4 x} :

Minimum

(- \frac{2}{3}, \frac{15 3}{16}),

Maximum

(\frac{2}{3}, - \frac{15 3}{16})

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Frequently Asked Questions (FAQ)

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