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Popular >

f(x)=(x^4)/(x^3+1)

Solution

f (x) = \frac{x ^{4}}{x ^{3} + 1}

Solution

Domain : x < - 1 or x > - 1

Range : f (x) \leq - \frac{4 3 4}{3} or f (x) \geq 0

X Intercepts : (0, 0), Y Intercepts : (0, 0)

Asymptotes : Vertical x = - 1, Slant y = x

Extreme Points : Maximum (- 34, - \frac{4 3 4}{3}), Minimum (0, 0)

+1

Interval Notation

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

Range : (- \infty, - \frac{4 3 4}{3}] \cup [0, \infty)

Solution steps

Domain of

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

Range of

\frac{x ^{4}}{x ^{3} + 1} : f (x) \leq - \frac{4 3 4}{3} or f (x) \geq 0

Axis interception points of

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

X Intercepts

: (0, 0),

Y Intercepts

: (0, 0)

Asymptotes of

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

Vertical

: x = - 1,

Slant

: y = x

Extreme Points of

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

Maximum

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

Minimum

(0, 0)

Graph

Popular Examples

f (x) = (x^{2} - 4)^{7}

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

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

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

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

f(x)=2x^4+9x^3-5x^2+57x-45

f (x) = 2 x^{4} + 9 x^{3} - 5 x^{2} + 57 x - 45

f(x)=sqrt(7x+5)

f (x) = 7 x + 5

Frequently Asked Questions (FAQ)

What is the f(x)=(x^4)/(x^3+1) ?
The f(x)=(x^4)/(x^3+1) is