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Popular >

range of x^2-2x+3

Solution

range

x^{2} - 2 x + 3

Solution

f (x) \geq 2

+1

Interval Notation

[2, \infty)

Solution steps

Vertex of

x^{2} - 2 x + 3 :

Minimum

(1, 2)

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, 2)

f (x) \geq 2

Popular Examples

asymptotes of x^2-4x+4 asymptotes

x^{2} - 4 x + 4

domain of 4x^2-18x+6 domain

4 x^{2} - 18 x + 6

domain of y=(x-5)/(x^2-1)domain

y = \frac{x - 5}{x ^{2} - 1}

domain of f(x)=sqrt(2x-16)domain

f (x) = 2 x - 16

inflection f(x)=x^2(x-3)(x-6)inflection points

f (x) = x^{2} (x - 3) (x - 6)

Frequently Asked Questions (FAQ)

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