Answer
Domain: The set of all real numbers
Range: $[-2, \infty)$
Work Step by Step
Given $$ f(x) = (x-6)^2-2.$$ Student's work:
Domain: $[-\infty ,\infty]$.
Range: $ [-\infty , -2]$.
The domain of this function is the set of all real numbers. The student puts an upper and lower bounds on infinity which is wrong. The range is also wrong and infinity can not be bound. The correct answer is
Domain: The set of all real numbers
Range: $[-2, \infty)$.
