en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Functions >

range of 2x^2+4x-9

Solution

range

2 x^{2} + 4 x - 9

Solution

f (x) \geq - 11

+1

Interval Notation

[- 11, \infty)

Solution steps

Vertex of

2 x^{2} + 4 x - 9 :

Minimum

(- 1, - 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}) = (- 1, - 11)

f (x) \geq - 11

Graph

Popular Examples

asymptotes of f(x)=-3^x

perpendicular 3/2 x-3

inverse of f(x)=(6-3x)^{5/2}

asymptotes of f(x)= 3/(x^2-2)

inverse of f(x)=(x-2)^3-4

Frequently Asked Questions (FAQ)

What is the range of 2x^2+4x-9 ?
The range of 2x^2+4x-9 is f(x)>=-11