The function f(x) = 5^sqrt(2(x^2)-1) has a range of (1, infinity), confirming that the output values (y-values) start from 1 and extend to infinity. When x = -2, f(-2) equals 5^sqrt(7), and f(sqrt(2)/2) equals 1. The discussion clarifies that "range" typically refers to y-values, while "domain" is used for x-values. There is some confusion regarding terminology, as some participants have seen "range" applied to x-values in different contexts. Overall, the focus remains on understanding the correct definitions of range and domain in relation to the function.