Question

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

Answer 1

Hello from MrBillDoesMath!

Answer:

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