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Popular >

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

Solution

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

Solution

Domain : x < 1 or x > 1

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

Asymptotes : Vertical x = 1, Slant y = x + 2

Extreme Points : Maximum (- 1, - \frac{3}{4}), Saddle (2, 6)

+1

Interval Notation

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

Range : (- \infty, \infty)

Solution steps

Domain of

\frac{x ^{3} - 2}{( x - 1 ) ^{2}} : x < 1 or x > 1

Range of

\frac{x ^{3} - 2}{( x - 1 ) ^{2}} : - \infty < f (x) < \infty

Axis interception points of

\frac{x ^{3} - 2}{( x - 1 ) ^{2}} :

X Intercepts

Y Intercepts

: (0, - 2)

Asymptotes of

\frac{x ^{3} - 2}{( x - 1 ) ^{2}} :

Vertical

: x = 1,

Slant

: y = x + 2

Extreme Points of

\frac{x ^{3} - 2}{( x - 1 ) ^{2}} :

Maximum

(- 1, - \frac{3}{4}),

Saddle

(2, 6)

Popular Examples

y = \frac{x}{7 - x ^{2}}

f(x)=(x+6)/(x^2-5x-24)

f (x) = \frac{x + 6}{x ^{2} - 5 x - 24}

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

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

f (6) = 5 x - 2

f (z) = z^{\frac{1}{2}}

Frequently Asked Questions (FAQ)

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