en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

Solution

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

Solution

Domain : x < - 2 or - 2 < x < 1 or x > 1

Range : f (x) \leq \frac{- 2 10 + 11}{9} or f (x) \geq \frac{2 10 + 11}{9}

X Intercepts : (\frac{1}{2}, 0), (- 1, 0), Y Intercepts : (0, \frac{1}{2})

Asymptotes : Vertical x = - 2, x = 1, Horizontal y = 2

Extreme Points : Maximum (3 - 10, \frac{11 - 2 10}{9}), Minimum (3 + 10, \frac{11 + 2 10}{9})

+1

Interval Notation

Domain : (- \infty, - 2) \cup (- 2, 1) \cup (1, \infty)

Range : (- \infty, \frac{- 2 10 + 11}{9}] \cup [\frac{2 10 + 11}{9}, \infty)

Solution steps

Domain of

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

Range of

\frac{2 x ^{2} + x - 1}{x ^{2} + x - 2} : f (x) \leq \frac{- 2 10 + 11}{9} or f (x) \geq \frac{2 10 + 11}{9}

Axis interception points of

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

X Intercepts

: (\frac{1}{2}, 0), (- 1, 0),

Y Intercepts

: (0, \frac{1}{2})

Asymptotes of

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

Vertical

: x = - 2, x = 1,

Horizontal

: y = 2

Extreme Points of

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

Maximum

(3 - 10, \frac{11 - 2 10}{9}),

Minimum

(3 + 10, \frac{11 + 2 10}{9})

Popular Examples

y = - x + 1

y=(x-x^2)/(2-3x+x^2)

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

f (x) = x^{6} e^{- x}

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

f(x)=(3x-6)/(x^2-4)

f (x) = \frac{3 x - 6}{x ^{2} - 4}

Frequently Asked Questions (FAQ)

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