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Popular >

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

Solution

f (x) = x^{2} + x - 2

Solution

Domain : x \leq - 2 or x \geq 1

Range : f (x) \geq 0

X Intercepts : (1, 0), (- 2, 0)

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

Extreme Points : Minimum (- 2, 0), Minimum (1, 0)

+1

Interval Notation

Domain : (- \infty, - 2] \cup [1, \infty)

Range : [0, \infty)

Solution steps

Domain of

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

Range of

x^{2} + x - 2 : f (x) \geq 0

Axis interception points of

x^{2} + x - 2 :

X Intercepts

: (1, 0), (- 2, 0)

Asymptotes of

x^{2} + x - 2 :

Slant

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

Extreme Points of

x^{2} + x - 2 :

Minimum

(- 2, 0),

Minimum

(1, 0)

Popular Examples

y = 2 (x + 1)^{2} - 2

y = 3 - 2 x

f(x)=sqrt(1-9x^2)

f (x) = 1 - 9 x^{2}

f (m) = 27 m^{3} - 125

domain of f(e)=ln(x-1)+e^{x^2-3}+(x^2-4)^{5/3}domain

f (e) = ln (x - 1) + e^{x^{2} - 3} + (x^{2} - 4)^{\frac{5}{3}}

Frequently Asked Questions (FAQ)

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