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Popular >

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

Solution

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

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)

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Interval Notation

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

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

Solution steps

Domain of

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

Range of

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

Axis interception points of

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

X Intercepts

: (0, 0),

Y Intercepts

: (0, 0)

Asymptotes of

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

Vertical

: x = 2,

Slant

: y = - x - 2

Extreme Points of

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

Minimum

(0, 0),

Maximum

(4, - 8)

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g (x) = 3^{x} + 3

Frequently Asked Questions (FAQ)

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