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Popular >

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

Solution

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

Solution

Domain : x < - 1 or x > - 1

Range : f (x) < 1 or f (x) > 1

X Intercepts : (1, 0), Y Intercepts : (0, - 1)

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

Extreme Points : Saddle (0, - 1)

+1

Interval Notation

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

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

Solution steps

Domain of

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

Range of

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

Axis interception points of

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

X Intercepts

: (1, 0),

Y Intercepts

: (0, - 1)

Asymptotes of

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

Vertical

: x = - 1,

Horizontal

: y = 1

Extreme Points of

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

Saddle

(0, - 1)

Popular Examples

f(x)=-3x^3+2x+7

f (x) = - 3 x^{3} + 2 x + 7

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

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

f (x) = 5 x^{4} - 3 x + 7

f(a)=sqrt(3)+2cos(a)

f (a) = 3 + 2 cos (a)

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

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

Frequently Asked Questions (FAQ)

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