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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

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)

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Frequently Asked Questions (FAQ)

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