en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

Solution

range

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

Solution

f (x) \geq - 9

+1

Interval Notation

[- 9, \infty)

Solution steps

Vertex of

x^{2} - 6 x :

Minimum

(3, - 9)

For a parabola

a x^{2} + b x + c

with Vertex

(x_{v}, y_{v})

If

a < 0

the range is

f (x) \leq y_{v}

If

a > 0

the range is

f (x) \geq y_{v}

a = 1,

Vertex

(x_{v}, y_{v}) = (3, - 9)

f (x) \geq - 9

Popular Examples

range of f(x)=-5x^2+2x+8 range

f (x) = - 5 x^{2} + 2 x + 8

domain of sqrt(4-6a)domain

4 - 6 a

inverse of f(x)=(-2x-5)/(6x-7)inverse

f (x) = \frac{- 2 x - 5}{6 x - 7}

critical f(x)=e^{-2.5x^2}critical points

f (x) = e^{- 2.5 x^{2}}

domain of f(x)=(9x-6)/(sqrt(x+9))domain

f (x) = \frac{9 x - 6}{x + 9}

Frequently Asked Questions (FAQ)

What is the range of f(x)=x^2-6x ?
The range of f(x)=x^2-6x is f(x)>=-9