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Popular >

f(x)= 3/(4x^4-8x^2)

Solution

f (x) = \frac{3}{4 x ^{4} - 8 x ^{2}}

Solution

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

Range : f (x) \leq - \frac{3}{4} or f (x) > 0

Intercepts : None

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

Extreme Points : Maximum (- 1, - \frac{3}{4}), Maximum (1, - \frac{3}{4})

+1

Interval Notation

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

Range : (- \infty, - \frac{3}{4}] \cup (0, \infty)

Solution steps

Domain of

\frac{3}{4 x ^{4} - 8 x ^{2}} : x < - 2 or - 2 < x < 0 or 0 < x < 2 or x > 2

Range of

\frac{3}{4 x ^{4} - 8 x ^{2}} : f (x) \leq - \frac{3}{4} or f (x) > 0

Axis interception points of

\frac{3}{4 x ^{4} - 8 x ^{2}} :

None

Asymptotes of

\frac{3}{4 x ^{4} - 8 x ^{2}} :

Vertical

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

Horizontal

: y = 0

Extreme Points of

\frac{3}{4 x ^{4} - 8 x ^{2}} :

Maximum

(- 1, - \frac{3}{4}),

Maximum

(1, - \frac{3}{4})

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Frequently Asked Questions (FAQ)

What is the f(x)= 3/(4x^4-8x^2) ?
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