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Popular >

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}

Popular Examples

parity y=sin(sqrt(cos(tan(pix))))parity

y = sin (cos (tan (π x)))

distance (-4,5),(7,18)distance

(- 4, 5), (7, 18)

extreme f(x)=(x-4)^2 extreme points

f (x) = (x - 4)^{2}

symmetry x^2+y^2+6x-2y-15=0 symmetry

x^{2} + y^{2} + 6 x - 2 y - 15 = 0

domain of f(x)=sqrt(12+3x)domain

f (x) = 12 + 3 x

Frequently Asked Questions (FAQ)

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