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Popular >

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

Solution

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

Solution

Domain : - \infty < x < \infty

Range : - \frac{2}{3} \leq f (x) \leq \frac{2}{3}

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

Asymptotes : Horizontal y = 1

Extreme Points : Maximum (- 2 - 3, \frac{2}{3}), Minimum (- 2 + 3, - \frac{2}{3})

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{2}{3}, \frac{2}{3}]

Solution steps

Domain of

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

Range of

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

Axis interception points of

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

X Intercepts

: (1, 0), (- 1, 0),

Y Intercepts

: (0, - 1)

Asymptotes of

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

Horizontal

: y = 1

Extreme Points of

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

Maximum

(- 2 - 3, \frac{2}{3}),

Minimum

(- 2 + 3, - \frac{2}{3})

Popular Examples

f(x)=3x^2+7x-12

f (x) = 3 x^{2} + 7 x - 12

f(x)=(x^2-1)/(2x^3)

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

f(x)=2x^2-12x+22

f (x) = 2 x^{2} - 12 x + 22

C(x)=600-10x+0.25x^2

C (x) = 600 - 10 x + 0.25 x^{2}

f(x)=5x^2-8x-44ln(x-1)

f (x) = 5 x^{2} - 8 x - 44 ln (x - 1)

Frequently Asked Questions (FAQ)

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