en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

range of 2x^2-8x-3

Solution

range

2 x^{2} - 8 x - 3

Solution

f (x) \geq - 11

+1

Interval Notation

[- 11, \infty)

Solution steps

Vertex of

2 x^{2} - 8 x - 3 :

Minimum

(2, - 11)

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, - 11)

f (x) \geq - 11

Popular Examples

extreme 2x^3-33x^2+60x+2 extreme points

2 x^{3} - 33 x^{2} + 60 x + 2

monotone f(x)=x^4 monotone intervals

f (x) = x^{4}

extreme xe^x extreme points

x e^{x}

asymptotes of 4/((x+1)^2)asymptotes

\frac{4}{( x + 1 ) ^{2}}

inverse of f(x)=sqrt(3-2x)+8 inverse

f (x) = 3 - 2 x + 8

Frequently Asked Questions (FAQ)

What is the range of 2x^2-8x-3 ?
The range of 2x^2-8x-3 is f(x)>=-11