en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

range of 2x(x-4)+7

Solution

range

2 x (x - 4) + 7

Solution

f (x) \geq - 1

+1

Interval Notation

[- 1, \infty)

Solution steps

Vertex of

2 x (x - 4) + 7 :

Minimum

(2, - 1)

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 = 2,

Vertex

(x_{v}, y_{v}) = (2, - 1)

f (x) \geq - 1

Popular Examples

distance (-5,-2),(-8,3)distance

(- 5, - 2), (- 8, 3)

extreme f(x)=ln(2-3x^2)extreme points

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

inverse of f(x)=-2x^2-1 inverse

f (x) = - 2 x^{2} - 1

distance (-5,3),(10,0)distance

(- 5, 3), (10, 0)

domain of log_{2}(2-x)domain

lo g_{2} (2 - x)

Frequently Asked Questions (FAQ)

What is the range of 2x(x-4)+7 ?
The range of 2x(x-4)+7 is f(x)>=-1