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Popular >

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

Solution

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

Solution

Domain : x < 0 or x > 0

Range : f (x) \leq \frac{3}{8}

Asymptotes : Vertical x = 0, Horizontal y = 0

Extreme Points : Maximum (2, \frac{3}{8})

+1

Interval Notation

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

Range : (- \infty, \frac{3}{8}]

Solution steps

Domain of

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

Range of

\frac{x ^{3} - 2}{x ^{4}} : f (x) \leq \frac{3}{8}

Axis interception points of

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

X Intercepts

Asymptotes of

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

Vertical

: x = 0,

Horizontal

: y = 0

Extreme Points of

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

Maximum

(2, \frac{3}{8})

Popular Examples

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

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

y = x^{4} - 4 x^{3} + 10

p(x)=(x+1)(x+1)(x-1)(x+5)

p (x) = (x + 1) (x + 1) (x - 1) (x + 5)

f(x)=6x^2+3x^5+2x^4+3

f (x) = 6 x^{2} + 3 x^{5} + 2 x^{4} + 3

f(x)=2cos(x)+sin(2x),(0, pi/2)

f (x) = 2 cos (x) + sin (2 x), (0, \frac{π}{2})

Frequently Asked Questions (FAQ)

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