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Popular >

y=(3x^2-8x+4)/(x^3-8x)

Solution

y = \frac{3 x ^{2} - 8 x + 4}{x ^{3} - 8 x}

Solution

Domain : x < - 22 or - 22 < x < 0 or 0 < x < 22 or x > 22

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

X Intercepts : (2, 0), (\frac{2}{3}, 0)

Asymptotes : Vertical x = - 22, x = 0, x = 22, Horizontal y = 0

Extreme Points : Minimum (- 0.79510 \dots, 2.09235 \dots), Maximum (1.24155 \dots, 0.16312 \dots)

+1

Interval Notation

Domain : (- \infty, - 22) \cup (- 22, 0) \cup (0, 22) \cup (22, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

\frac{3 x ^{2} - 8 x + 4}{x ^{3} - 8 x} : x < - 22 or - 22 < x < 0 or 0 < x < 22 or x > 22

Range of

\frac{3 x ^{2} - 8 x + 4}{x ^{3} - 8 x} : - \infty < f (x) < \infty

Axis interception points of

\frac{3 x ^{2} - 8 x + 4}{x ^{3} - 8 x} :

X Intercepts

: (2, 0), (\frac{2}{3}, 0)

Asymptotes of

\frac{3 x ^{2} - 8 x + 4}{x ^{3} - 8 x} :

Vertical

: x = - 22, x = 0, x = 22,

Horizontal

: y = 0

Extreme Points of

\frac{3 x ^{2} - 8 x + 4}{x ^{3} - 8 x} :

Minimum

(- 0.79510 \dots, 2.09235 \dots),

Maximum

(1.24155 \dots, 0.16312 \dots)

Popular Examples

f(x)=(x-2)/(2x^3-3x^2+4x+5)

f (x) = \frac{x - 2}{2 x ^{3} - 3 x ^{2} + 4 x + 5}

y=(1+cos(2x))/(1-cos(2x))

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

f(x)=cos(x)ln(1-x)

f (x) = cos (x) ln (1 - x)

y = (2)^{x}

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

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

Frequently Asked Questions (FAQ)

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