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Popular >

f(x)=(x^4)/(9-x^2)

Solution

f (x) = \frac{x ^{4}}{9 - x ^{2}}

Solution

Domain : x < - 3 or - 3 < x < 3 or x > 3

Range : f (x) \leq - 36 or f (x) \geq 0

X Intercepts : (0, 0), Y Intercepts : (0, 0)

Asymptotes : Vertical x = - 3, x = 3

Extreme Points : Maximum (- 32, - 36), Minimum (0, 0), Maximum (32, - 36)

+1

Interval Notation

Domain : (- \infty, - 3) \cup (- 3, 3) \cup (3, \infty)

Range : (- \infty, - 36] \cup [0, \infty)

Solution steps

Domain of

\frac{x ^{4}}{9 - x ^{2}} : x < - 3 or - 3 < x < 3 or x > 3

Range of

\frac{x ^{4}}{9 - x ^{2}} : f (x) \leq - 36 or f (x) \geq 0

Axis interception points of

\frac{x ^{4}}{9 - x ^{2}} :

X Intercepts

: (0, 0),

Y Intercepts

: (0, 0)

Asymptotes of

\frac{x ^{4}}{9 - x ^{2}} :

Vertical

: x = - 3, x = 3

Extreme Points of

\frac{x ^{4}}{9 - x ^{2}} :

Maximum

(- 32, - 36),

Minimum

(0, 0),

Maximum

(32, - 36)

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Frequently Asked Questions (FAQ)

What is the f(x)=(x^4)/(9-x^2) ?
The f(x)=(x^4)/(9-x^2) is