en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Functions >

range of f(x)=-x^2+4x-6

Solution

range

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

Solution

f (x) \leq - 2

+1

Interval Notation

(- \infty, - 2]

Solution steps

Vertex of

- x^{2} + 4 x - 6 :

Maximum

(2, - 2)

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}) = (2, - 2)

f (x) \leq - 2

Graph

Popular Examples

domain of f(x)= 1/(\frac{1){sqrt(x)}}

domain of y=\sqrt[3]{x^4+9}

range of f(x)=sqrt(x)-2

symmetry y=-x^2+4x-2

Frequently Asked Questions (FAQ)

What is the range of f(x)=-x^2+4x-6 ?
The range of f(x)=-x^2+4x-6 is f(x)<=-2