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-1)^2

Solution

range

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

Solution

f (x) \geq 0

+1

Interval Notation

[0, \infty)

Solution steps

Vertex of

(x - 1)^{2} :

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

inflection x+1+1/(x^2-1)

midpoint (0,0),(d,p)

intercepts of (2x)/(x^2-3x-4)

intercepts of f(x)=-x^2-4x+3

slope ofintercept y-4=-3x-10

Frequently Asked Questions (FAQ)

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