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

Maximum

(- 1, 3),

Minimum

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

Popular Examples

f (x) = 2 x^{2} - x + 10

f(x)=2x^5-4x^3+3x-5

f (x) = 2 x^{5} - 4 x^{3} + 3 x - 5

g(x)=(1/2)^{x-1}

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

f(n)=(1+n)^{1/n}

f (n) = (1 + n)^{\frac{1}{n}}

y = (\frac{3}{5}) x^{5}

Frequently Asked Questions (FAQ)

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