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Popular >

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

Solution

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

Solution

Domain : x < 1 or 1 < x < 5 or x > 5

Range : f (x) \leq - \frac{60 - 11 30}{30} or f (x) \geq \frac{60 + 11 30}{30}

X Intercepts : (0, 0), (- 1, 0), Y Intercepts : (0, 0)

Asymptotes : Vertical x = 5, Slant y = x + 6

Extreme Points : Maximum (5 - 30, 11 - 230), Minimum (5 + 30, 11 + 230)

+1

Interval Notation

Domain : (- \infty, 1) \cup (1, 5) \cup (5, \infty)

Range : (- \infty, - \frac{60 - 11 30}{30}] \cup [\frac{60 + 11 30}{30}, \infty)

Solution steps

Domain of

\frac{x ^{3} - x}{x ^{2} - 6 x + 5} : x < 1 or 1 < x < 5 or x > 5

Range of

\frac{x ^{3} - x}{x ^{2} - 6 x + 5} : f (x) \leq - \frac{60 - 11 30}{30} or f (x) \geq \frac{60 + 11 30}{30}

Axis interception points of

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

X Intercepts

: (0, 0), (- 1, 0),

Y Intercepts

: (0, 0)

Asymptotes of

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

Vertical

: x = 5,

Slant

: y = x + 6

Extreme Points of

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

Maximum

(5 - 30, 11 - 230),

Minimum

(5 + 30, 11 + 230)

Popular Examples

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

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

f (x) = 2 - \frac{2}{3} x

y = - 2 x^{2} + 9 x - 11

f(x)=x^3+3x^2-9x-27

f (x) = x^{3} + 3 x^{2} - 9 x - 27

y = x - 5 + 7

Frequently Asked Questions (FAQ)

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