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Popular >

y=(x^2-2)^{-3}

Solution

y = (x^{2} - 2)^{- 3}

Solution

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

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

Y Intercepts : (0, - \frac{1}{8})

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

Extreme Points : Maximum (0, - \frac{1}{8})

+1

Interval Notation

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

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

Solution steps

Domain of

(x^{2} - 2)^{- 3} : x < - 2 or - 2 < x < 2 or x > 2

Range of

(x^{2} - 2)^{- 3} : f (x) \leq - \frac{1}{8} or f (x) > 0

Axis interception points of

(x^{2} - 2)^{- 3} :

Y Intercepts

: (0, - \frac{1}{8})

Asymptotes of

(x^{2} - 2)^{- 3} :

Vertical

: x = - 2, x = 2,

Horizontal

: y = 0

Extreme Points of

(x^{2} - 2)^{- 3} :

Maximum

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

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Frequently Asked Questions (FAQ)

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