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Popular >

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

Solution

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

Solution

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

Range : f (x) \leq 0 or f (x) \geq \frac{8}{9}

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

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

Extreme Points : Maximum (0, 0), Minimum (4, \frac{8}{9})

+1

Solution steps

Domain of

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

Range of

\frac{x ^{2}}{x ^{2} + x - 2} : f (x) \leq 0 or f (x) \geq \frac{8}{9}

Axis interception points of

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

X Intercepts

: (0, 0),

Y Intercepts

: (0, 0)

Asymptotes of

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

Vertical

: x = - 2, x = 1,

Horizontal

: y = 1

Extreme Points of

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

Maximum

(0, 0),

Minimum

(4, \frac{8}{9})

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Frequently Asked Questions (FAQ)

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