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Popular >

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

Solution

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

Solution

Domain : - \infty < x < \infty

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

Y Intercepts : (0, 1)

Asymptotes : Horizontal y = 1

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

+1

Interval Notation

Domain : (- \infty, \infty)

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

Solution steps

Domain of

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

Range of

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

Axis interception points of

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

Y Intercepts

: (0, 1)

Asymptotes of

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

Horizontal

: y = 1

Extreme Points of

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

Minimum

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

Maximum

(1, 3)

Popular Examples

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

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

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

y = 3 x^{2} - 18 x + 24

f (x) = cos^{2} (6 x)

y = 3^{x + 1} - 2

Frequently Asked Questions (FAQ)

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