Question

What is the domain of the piecewise function below?

-2x+8 if x>3
f(x)= -x^2 if-2 1 if x <-2
A. all real numbers between -2 and 3
B. all real numbers less than -2
C. all real numbers greater than or equal to 3
D. all real numbers

Answer 1

Answer D : All real numbers

Explanation:

Notice that all real numbers are covered in the Domain of the piece-wise function:

`x<-2` union with
`-2\leq x<3` union with
`x\geq 3`

That covers the entire Real number line.