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Popular >

y=x^2-x-6

Solution

y = x^{2} - x - 6

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - \frac{25}{4}

X Intercepts : (3, 0), (- 2, 0), Y Intercepts : (0, - 6)

Vertex : Minimum (\frac{1}{2}, - \frac{25}{4})

Inverse : \frac{1 + 4 x + 25}{2}, \frac{1 - 4 x + 25}{2}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{25}{4}, \infty)

Solution steps

Domain of

x^{2} - x - 6 : - \infty < x < \infty

Range of

x^{2} - x - 6 : f (x) \geq - \frac{25}{4}

Axis interception points of

x^{2} - x - 6 :

X Intercepts

: (3, 0), (- 2, 0),

Y Intercepts

: (0, - 6)

Vertex of

x^{2} - x - 6 :

Minimum

(\frac{1}{2}, - \frac{25}{4})

Inverse of

x^{2} - x - 6 : \frac{1 + 4 x + 25}{2}, \frac{1 - 4 x + 25}{2}

Popular Examples

asymptotes of f(x)=(4x^2+2x-1)/(2x^3)asymptotes

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

extreme f(x)=4x^3-3x^2-6x+17 extreme points

f (x) = 4 x^{3} - 3 x^{2} - 6 x + 17

domain of (sqrt(x^2+25))/x domain

\frac{x ^{2} + 25}{x}

monotone f(x)=x^4-2x^3 monotone intervals

f (x) = x^{4} - 2 x^{3}

parity f(x)= x/(x+1)parity

f (x) = \frac{x}{x + 1}

Frequently Asked Questions (FAQ)

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