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Popular >

f(x)=(-x^6-5x^3+5x)/(x^2+2)

Solution

f (x) = \frac{- x ^{6} - 5 x ^{3} + 5 x}{x ^{2} + 2}

Solution

Domain : - \infty < x < \infty

Range : f (x) \leq 0.82704 \dots

X Intercepts : (0, 0), (0.92844 \dots, 0), Y Intercepts : (0, 0)

Asymptotes : None

Extreme Points : Maximum (- 1.25919 \dots, - 0.08351 \dots), Minimum (- 0.53924 \dots, - 0.84547 \dots), Maximum (0.51251 \dots, 0.82704 \dots)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, 0.82704 \dots]

Solution steps

Domain of

\frac{- x ^{6} - 5 x ^{3} + 5 x}{x ^{2} + 2} : - \infty < x < \infty

Range of

\frac{- x ^{6} - 5 x ^{3} + 5 x}{x ^{2} + 2} : f (x) \leq 0.82704 \dots

Axis interception points of

\frac{- x ^{6} - 5 x ^{3} + 5 x}{x ^{2} + 2} :

X Intercepts

: (0, 0), (0.92844 \dots, 0),

Y Intercepts

: (0, 0)

Asymptotes of

\frac{- x ^{6} - 5 x ^{3} + 5 x}{x ^{2} + 2} :

None

Extreme Points of

\frac{- x ^{6} - 5 x ^{3} + 5 x}{x ^{2} + 2} :

Maximum

(- 1.25919 \dots, - 0.08351 \dots),

Minimum

(- 0.53924 \dots, - 0.84547 \dots),

Maximum

(0.51251 \dots, 0.82704 \dots)

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Frequently Asked Questions (FAQ)

What is the f(x)=(-x^6-5x^3+5x)/(x^2+2) ?
The f(x)=(-x^6-5x^3+5x)/(x^2+2) is