Answer
Domain: The set of all real numbers
Range: $y\geq -9$
Work Step by Step
Given$$ f(x) = (x+4)^2-9.$$ Student's work:
Domain: $x>-4$.
Range: $ y>-9$.
The domain of this function is the set of all real numbers which includes $-4$. He uses a "greater than" sign for $y$, which is wrong. He should be using "greater than or equal to" sign.
Here is the correct domain and range of the function.
Domain: The set of all real numbers
Range: $y\geq -9$
