Find the range of the function. f(x) = (x - 2)2 + 2 (1 point)

Hello from MrBillDoesMath!

All real x

Discussion:

Take any real number, say, P. Then solve

f(x) = (x-2)2 + 2 = P =>              (subtract 2 from both sides)

(x-2)2 = P -2            =>              (divide both sides by 2)

(x-2) =  (1/2) (P-2)    =>               (add 2 to both sides)

x = (1/2)(P-2) + 2

Conclusion: for any real number range value, P, there is an x (given by the above formula) such that f(x) = P. In other words, the range of f is all real numbers x

Regards,  

MrB

answer: all of the odd numbers were opened

the first person was the one that was opening all of the lockers. since one is odd, this causes all of the odd number lockers to be opened in the end.

thats not a system of equations, that is a solution