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Popular >

f(x)=(x^5)/(6-x^2)

Solution

f (x) = \frac{x ^{5}}{6 - x ^{2}}

Solution

Domain : x < - 6 or - 6 < x < 6 or x > 6

Range : - \infty < f (x) < \infty

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

Asymptotes : Vertical x = - 6, x = 6

Extreme Points : Minimum (- 10, 2510), Saddle (0, 0), Maximum (10, - 2510)

+1

Interval Notation

Domain : (- \infty, - 6) \cup (- 6, 6) \cup (6, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

\frac{x ^{5}}{6 - x ^{2}} : x < - 6 or - 6 < x < 6 or x > 6

Range of

\frac{x ^{5}}{6 - x ^{2}} : - \infty < f (x) < \infty

Axis interception points of

\frac{x ^{5}}{6 - x ^{2}} :

X Intercepts

: (0, 0),

Y Intercepts

: (0, 0)

Asymptotes of

\frac{x ^{5}}{6 - x ^{2}} :

Vertical

: x = - 6, x = 6

Extreme Points of

\frac{x ^{5}}{6 - x ^{2}} :

Minimum

(- 10, 2510),

Saddle

(0, 0),

Maximum

(10, - 2510)

Popular Examples

f (θ) = 6 cos (θ)

y = - 6 x - 9

y = - 6 x + 7

y = - 7 x + 1

f (x) = 3 sec^{2} (x)

Frequently Asked Questions (FAQ)

What is the f(x)=(x^5)/(6-x^2) ?
The f(x)=(x^5)/(6-x^2) is