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Popular Calculus >

f(x)=sqrt((2x)/(x+1))

Solution

f (x) = \frac{2 x}{x + 1}

Solution

Domain : x < - 1 or x \geq 0

Range : 0 \leq f (x) < 2 or f (x) > 2

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

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

Extreme Points : Minimum (0, 0)

+1

Interval Notation

Domain : (- \infty, - 1) \cup [0, \infty)

Range : [0, 2) \cup (2, \infty)

Solution steps

Domain of

\frac{2 x}{x + 1} : x < - 1 or x \geq 0

Range of

\frac{2 x}{x + 1} : 0 \leq f (x) < 2 or f (x) > 2

Axis interception points of

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

X Intercepts

: (0, 0),

Y Intercepts

: (0, 0)

Asymptotes of

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

Vertical

: x = - 1,

Horizontal

: y = 2

Extreme Points of

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

Minimum

(0, 0)

Graph

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Frequently Asked Questions (FAQ)

What is the f(x)=sqrt((2x)/(x+1)) ?
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