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Popular >

f(x)=x^2-x-6

Solution

f (x) = 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

slope ofintercept-2x+5y=18 slope intercept

- 2 x + 5 y = 18

range of f(x)=6 range

f (x) = 6

slope ofintercept 6x+0.12 slope intercept

6 x + 0.12

inverse of f(x)=sqrt(3x-9)inverse

f (x) = 3 x - 9

simplify (2)(-3.5)simplify

(2) (- 3.5)

Frequently Asked Questions (FAQ)

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