Find the range of the function f (x) = x2-6x.

If the domain is (-7,-2,1)

Hello:

1) x²-6x = - 2

x²-6x+2=0

x²-2 (3) x+9-9+2 = 0

(x-3) ² - 7 = 0

(x-3) ² = (√7) ²

x-3 = √7 or x-3 = - √2

x=3 + √2 or x = 3 - √2

2) x²-6x = - 7

x²-6x+7=0

x²-2 (3) x+9-9+7 = 0

(x-3) ² - 7 = 0

(x-3) ² = (√7) ²

x-3 = √7 or x-3 = - √7

x=3+√7 or x = 3-√7

3)

x²-6x = 1

x²-6x-1=0

x²-2 (3) x+9-9-1 = 0

(x-3) ² - 10 = 0

(x-3) ² = (√10) ²

x-3 = √10 or x-3 = - √10

x=3 + √10 or x = 3 - √10

the range is : {3+√2,3-√2,3+√7,3-√7,3 + √10, 3 - √10 }