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Popular >

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

Solution

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

Solution

Domain : x < 0 or x > 0

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

Asymptotes : Vertical x = 0, Slant y = x

Extreme Points : Maximum (- 2, - 3)

+1

Interval Notation

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

Range : (- \infty, \infty)

Solution steps

Domain of

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

Range of

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

Axis interception points of

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

X Intercepts

Asymptotes of

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

Vertical

: x = 0,

Slant

: y = x

Extreme Points of

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

Maximum

(- 2, - 3)

Popular Examples

f(x)=(sqrt(5-x))/(-4x+8)

f (x) = \frac{5 - x}{- 4 x + 8}

f(x)=(8x+5)/(2-5x)

f (x) = \frac{8 x + 5}{2 - 5 x}

f(x)=(2x+1)/(-5x+3)

f (x) = \frac{2 x + 1}{- 5 x + 3}

y= 1/((e^x+1)^2)

y = \frac{1}{( e ^{x} + 1 ) ^{2}}

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

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

Frequently Asked Questions (FAQ)

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