Question

Determine the domain and range of the given function

Answer 1

Determine the domain and range of the given function.

The domain is

✔ all real numbers

.

The range is

✔ all real numbers greater than or equal to –2

.

Explanation:

Answer 2

The domain: all real numbers;

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

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.`