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Popular >

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

Solution

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

Solution

Domain : x < 2 or x > 2

Range : f (x) \leq - 8 or f (x) \geq 0

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

Asymptotes : Vertical x = 2, Slant y = - x - 2

Extreme Points : Minimum (0, 0), Maximum (4, - 8)

+1

Interval Notation

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

Range : (- \infty, - 8] \cup [0, \infty)

Solution steps

Domain of

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

Range of

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

Axis interception points of

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

X Intercepts

: (0, 0),

Y Intercepts

: (0, 0)

Asymptotes of

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

Vertical

: x = 2,

Slant

: y = - x - 2

Extreme Points of

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

Minimum

(0, 0),

Maximum

(4, - 8)

Popular Examples

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f (x) = \frac{sin ( x )}{( 1 + cos ( x ) )}

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

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

f (x) = 6 x^{2} + 4 x - 5

Frequently Asked Questions (FAQ)

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