Question

Determine the domain and range of the given function

Answer 1

Answer:

The domain: all real numbers;

the range: $[-2,\infty)$

Step-by-step explanation:

The domain and the range of the parent function $y=x^2$ are all real numbers and all real numbers that are greater or equal to 0.

Given graph of the function $f(x)$ is translated graph of the parent function 2 units down. Thus, the domain of the function $f(x)$ is the same as the domain of the parent function and the range is $y\ge -2.$