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Popular >

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

Solution

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

Solution

Domain : - \infty < x < \infty

Range : - \frac{1}{3} \leq f (x) \leq 1

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

Asymptotes : Horizontal y = 0

Extreme Points : Minimum (- 1, - \frac{1}{3}), Maximum (1, 1)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{1}{3}, 1]

Solution steps

Domain of

\frac{x}{x ^{2} - x + 1} : - \infty < x < \infty

Range of

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

Axis interception points of

\frac{x}{x ^{2} - x + 1} :

X Intercepts

: (0, 0),

Y Intercepts

: (0, 0)

Asymptotes of

\frac{x}{x ^{2} - x + 1} :

Horizontal

: y = 0

Extreme Points of

\frac{x}{x ^{2} - x + 1} :

Minimum

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

Maximum

(1, 1)

Popular Examples

f(x)=(2x-9)/(x-4)

f (x) = \frac{2 x - 9}{x - 4}

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

f(x)= x/(sqrt(x+3))-5/(sqrt(5-x))

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

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

y=(e^x)/(1-e^x)

y = \frac{e ^{x}}{1 - e ^{x}}

Frequently Asked Questions (FAQ)

What is the f(x)= x/((x^2-x+1)) ?
The f(x)= x/((x^2-x+1)) is