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Popular >

f(x)=(2x^2)/(x-1)

Solution

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

Solution

Domain : x < 1 or x > 1

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

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

Asymptotes : Vertical x = 1, Slant y = 2 x + 2

Extreme Points : Maximum (0, 0), Minimum (2, 8)

+1

Interval Notation

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

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

Solution steps

Domain of

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

Range of

\frac{2 x ^{2}}{x - 1} : f (x) \leq 0 or f (x) \geq 8

Axis interception points of

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

X Intercepts

: (0, 0),

Y Intercepts

: (0, 0)

Asymptotes of

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

Vertical

: x = 1,

Slant

: y = 2 x + 2

Extreme Points of

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

Maximum

(0, 0),

Minimum

(2, 8)

Graph

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Frequently Asked Questions (FAQ)

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