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Popular Functions >

f(x)=x^2-11x-30

Solution

f (x) = x^{2} - 11 x - 30

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - \frac{241}{4}

X Intercepts : (\frac{11 + 241}{2}, 0), (\frac{11 - 241}{2}, 0), Y Intercepts : (0, - 30)

Vertex : Minimum (\frac{11}{2}, - \frac{241}{4})

Inverse : \frac{11 + 4 x + 241}{2}, \frac{11 - 4 x + 241}{2}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{241}{4}, \infty)

Solution steps

Domain of

x^{2} - 11 x - 30 : - \infty < x < \infty

Range of

x^{2} - 11 x - 30 : f (x) \geq - \frac{241}{4}

Axis interception points of

x^{2} - 11 x - 30 :

X Intercepts

: (\frac{11 + 241}{2}, 0), (\frac{11 - 241}{2}, 0),

Y Intercepts

: (0, - 30)

Vertex of

x^{2} - 11 x - 30 :

Minimum

(\frac{11}{2}, - \frac{241}{4})

Inverse of

x^{2} - 11 x - 30 : \frac{11 + 4 x + 241}{2}, \frac{11 - 4 x + 241}{2}

Graph

Popular Examples

f(k)=3^{k+1}-1+3^k

parity f(x)=sqrt(cos(x))*cos(300x)+sqrt(|x|)-0.3*(4-x^2)^{0.01}

Frequently Asked Questions (FAQ)

What is the f(x)=x^2-11x-30 ?
The f(x)=x^2-11x-30 is