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Popular >

y=(x-1)/(4x-x^3)

Solution

y = \frac{x - 1}{4 x - x ^{3}}

Solution

Domain : x < - 2 or - 2 < x < 0 or 0 < x < 2 or x > 2

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

X Intercepts : (1, 0)

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

Extreme Points : Minimum (- 0.91082 \dots, 0.66171 \dots)

+1

Interval Notation

Domain : (- \infty, - 2) \cup (- 2, 0) \cup (0, 2) \cup (2, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

\frac{x - 1}{4 x - x ^{3}} : x < - 2 or - 2 < x < 0 or 0 < x < 2 or x > 2

Range of

\frac{x - 1}{4 x - x ^{3}} : - \infty < f (x) < \infty

Axis interception points of

\frac{x - 1}{4 x - x ^{3}} :

X Intercepts

: (1, 0)

Asymptotes of

\frac{x - 1}{4 x - x ^{3}} :

Vertical

: x = - 2, x = 0, x = 2,

Horizontal

: y = 0

Extreme Points of

\frac{x - 1}{4 x - x ^{3}} :

Minimum

(- 0.91082 \dots, 0.66171 \dots)

Popular Examples

f(x)=(2/(x-1))^5

f (x) = (\frac{2}{x - 1})^{5}

f (x) = 2 x^{3} - 4

y=6(x-1/2)(x+3)

y = 6 (x - \frac{1}{2}) (x + 3)

f(x)=(sqrt(x))/(2x^2+x-1)

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

f(x)=2500x-5x^2+10000

f (x) = 2500 x - 5 x^{2} + 10000

Frequently Asked Questions (FAQ)

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