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Popular >

y=sqrt(x^2+x)-x

Solution

y = x^{2} + x - x

Solution

Domain : x \leq - 1 or x \geq 0

Range : 0 \leq f (x) < \frac{1}{2} or f (x) \geq 1

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

Asymptotes : Horizontal y = \frac{1}{2}, Slant y = - 2 x - \frac{1}{2}

Extreme Points : Minimum (- 1, 1), Minimum (0, 0)

+1

Interval Notation

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

Range : [0, \frac{1}{2}) \cup [1, \infty)

Solution steps

Domain of

x^{2} + x - x : x \leq - 1 or x \geq 0

Range of

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

Axis interception points of

x^{2} + x - x :

X Intercepts

: (0, 0),

Y Intercepts

: (0, 0)

Asymptotes of

x^{2} + x - x :

Horizontal

: y = \frac{1}{2},

Slant

: y = - 2 x - \frac{1}{2}

Extreme Points of

x^{2} + x - x :

Minimum

(- 1, 1),

Minimum

(0, 0)

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Frequently Asked Questions (FAQ)

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