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Popular >

y= 1/(v^2)-2/(v^4)

Solution

y = \frac{1}{v ^{2}} - \frac{2}{v ^{4}}

Solution

Domain : v < 0 or v > 0

Range : f (x) < 0 or 0 < f (x) \leq \frac{1}{8}

X Intercepts : (2, 0), (- 2, 0)

Asymptotes : Horizontal y = \frac{1}{v ^{2}} - \frac{2}{v ^{4}}

Extreme Points : Maximum (- 2, \frac{1}{8}), Maximum (2, \frac{1}{8})

+1

Interval Notation

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

Range : (- \infty, 0) \cup (0, \frac{1}{8}]

Solution steps

Domain of

\frac{1}{v ^{2}} - \frac{2}{v ^{4}} : v < 0 or v > 0

Range of

\frac{1}{v ^{2}} - \frac{2}{v ^{4}} : f (x) < 0 or 0 < f (x) \leq \frac{1}{8}

Axis interception points of

\frac{1}{v ^{2}} - \frac{2}{v ^{4}} :

X Intercepts

: (2, 0), (- 2, 0)

Asymptotes of

\frac{1}{v ^{2}} - \frac{2}{v ^{4}} :

Horizontal

: y = \frac{1}{v ^{2}} - \frac{2}{v ^{4}}

Extreme Points of

\frac{1}{v ^{2}} - \frac{2}{v ^{4}} :

Maximum

(- 2, \frac{1}{8}),

Maximum

(2, \frac{1}{8})

Popular Examples

y=x^3+3x^2+5x-6

y = x^{3} + 3 x^{2} + 5 x - 6

y = \frac{- 2}{3} x - 4

y = - x^{2} + 5 x - 4

y = 4 x^{2} + 3 x + 1

y = 4 x^{2} + 3 x + 9

Frequently Asked Questions (FAQ)

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