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Popular >

f(x)=(x-7)/(x^3-x^2-11x+3)

Solution

f (x) = \frac{x - 7}{x ^{3} - x ^{2} - 11 x + 3}

Solution

Domain : x < - 3 or - 3 < x < 2 - 3 or 2 - 3 < x < 2 + 3 or x > 2 + 3

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

X Intercepts : (7, 0), Y Intercepts : (0, - \frac{7}{3})

Asymptotes : Vertical x = - 3, x = 2 - 3, x = 2 + 3, Horizontal y = 0

Extreme Points : Maximum (- 1.46483 \dots, - 0.61231 \dots), Minimum (2.54675 \dots, 0.29723 \dots), Maximum (9.91808 \dots, 0.00378 \dots)

+1

Solution steps

Domain of

\frac{x - 7}{x ^{3} - x ^{2} - 11 x + 3} : x < - 3 or - 3 < x < 2 - 3 or 2 - 3 < x < 2 + 3 or x > 2 + 3

Range of

\frac{x - 7}{x ^{3} - x ^{2} - 11 x + 3} : - \infty < f (x) < \infty

Axis interception points of

\frac{x - 7}{x ^{3} - x ^{2} - 11 x + 3} :

X Intercepts

: (7, 0),

Y Intercepts

: (0, - \frac{7}{3})

Asymptotes of

\frac{x - 7}{x ^{3} - x ^{2} - 11 x + 3} :

Vertical

: x = - 3, x = 2 - 3, x = 2 + 3,

Horizontal

: y = 0

Extreme Points of

\frac{x - 7}{x ^{3} - x ^{2} - 11 x + 3} :

Maximum

(- 1.46483 \dots, - 0.61231 \dots),

Minimum

(2.54675 \dots, 0.29723 \dots),

Maximum

(9.91808 \dots, 0.00378 \dots)

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Frequently Asked Questions (FAQ)

What is the f(x)=(x-7)/(x^3-x^2-11x+3) ?
The f(x)=(x-7)/(x^3-x^2-11x+3) is