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Popular >

f(x)=(8-x^2)/(x^3-x^2+1)

Solution

f (x) = \frac{8 - x ^{2}}{x ^{3} - x ^{2} + 1}

Solution

Domain : x < - 0.75487 \dots or x > - 0.75487 \dots

Range : - 0.17052 \dots \leq f (x) < 3.71508 E 16

X Intercepts : (22, 0), (- 22, 0), Y Intercepts : (0, 8)

Asymptotes : Vertical x = - 0.75487 \dots, Horizontal y = 0

Extreme Points : Maximum (- 5.16806 \dots, 0.11425 \dots), Minimum (0, 8), Maximum (0.59197 \dots, 8.92583 \dots), Minimum (4.57609 \dots, - 0.17052 \dots)

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Interval Notation

Domain : (- \infty, - 0.75487 \dots) \cup (- 0.75487 \dots, \infty)

Range : [- 0.17052 \dots, 3.71508 E 16)

Solution steps

Domain of

\frac{8 - x ^{2}}{x ^{3} - x ^{2} + 1} : x < - 0.75487 \dots or x > - 0.75487 \dots

Range of

\frac{8 - x ^{2}}{x ^{3} - x ^{2} + 1} : - 0.17052 \dots \leq f (x) < 3.71508 E 16

Axis interception points of

\frac{8 - x ^{2}}{x ^{3} - x ^{2} + 1} :

X Intercepts

: (22, 0), (- 22, 0),

Y Intercepts

: (0, 8)

Asymptotes of

\frac{8 - x ^{2}}{x ^{3} - x ^{2} + 1} :

Vertical

: x = - 0.75487 \dots,

Horizontal

: y = 0

Extreme Points of

\frac{8 - x ^{2}}{x ^{3} - x ^{2} + 1} :

Maximum

(- 5.16806 \dots, 0.11425 \dots),

Minimum

(0, 8),

Maximum

(0.59197 \dots, 8.92583 \dots),

Minimum

(4.57609 \dots, - 0.17052 \dots)

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Frequently Asked Questions (FAQ)

What is the f(x)=(8-x^2)/(x^3-x^2+1) ?
The f(x)=(8-x^2)/(x^3-x^2+1) is