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Popular >

y=x^2+x-2

Solution

y = x^{2} + x - 2

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - \frac{9}{4}

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

Vertex : Minimum (- \frac{1}{2}, - \frac{9}{4})

Inverse : \frac{- 1 + 4 x + 9}{2}, \frac{- 1 - 4 x + 9}{2}

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Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{9}{4}, \infty)

Solution steps

Domain of

x^{2} + x - 2 : - \infty < x < \infty

Range of

x^{2} + x - 2 : f (x) \geq - \frac{9}{4}

Axis interception points of

x^{2} + x - 2 :

X Intercepts

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

Y Intercepts

: (0, - 2)

Vertex of

x^{2} + x - 2 :

Minimum

(- \frac{1}{2}, - \frac{9}{4})

Inverse of

x^{2} + x - 2 : \frac{- 1 + 4 x + 9}{2}, \frac{- 1 - 4 x + 9}{2}

Popular Examples

domain of e^{-5t}domain

e^{- 5 t}

slope of 4x+6y=12 slope

4 x + 6 y = 12

critical x^3-3x+2 critical points

x^{3} - 3 x + 2

inverse of f(x)=1+sqrt(x+1)inverse

f (x) = 1 + x + 1

inverse of f(x)=9x^3+7 inverse

f (x) = 9 x^{3} + 7

Frequently Asked Questions (FAQ)

What is the y=x^2+x-2 ?
The y=x^2+x-2 is