en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Functions >

range of x^2+2x+1

Solution

range

x^{2} + 2 x + 1

Solution

f (x) \geq 0

+1

Interval Notation

[0, \infty)

Solution steps

Vertex of

x^{2} + 2 x + 1 :

Minimum

(- 1, 0)

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}) = (- 1, 0)

f (x) \geq 0

Graph

Popular Examples

range of f(x)=(x+3)/(x+6)

inverse of f(x)=sqrt(7x)

domain of 7c-14

asymptotes of f(x)=((2x^2-x-10))/(x+2)

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

Frequently Asked Questions (FAQ)

What is the range of x^2+2x+1 ?
The range of x^2+2x+1 is f(x)>= 0