(x^2-2x+5)^(1/2)

Question

(x^2-2x+5)^(1/2)

Answer 1

Range is the set of y-values. "Range is x ≥ 4" is nonsensical.

 

The minimum of x² - 2x + 5 occurs when 2x - 2 = 0,

2x - 2 = 0
2x = 2

x = 1

 

At x = 1, x² - 2x + 5 = 4

 

Range = {y | y ≥ 4}