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Popular Functions >

f(x)=x^2+x

Solution

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

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - \frac{1}{4}

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

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

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

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{1}{4}, \infty)

Solution steps

Domain of

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

Range of

x^{2} + x : f (x) \geq - \frac{1}{4}

Axis interception points of

x^{2} + x :

X Intercepts

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

Y Intercepts

: (0, 0)

Vertex of

x^{2} + x :

Minimum

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

Inverse of

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

Graph

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Frequently Asked Questions (FAQ)

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