Question

cms 2025-2026 nc math 4 initial credit (approved for wmhs spr 26)
piecewise defined functions
understanding piecewise defined functions with discontinuities
identify the domain for the function, ( f(x) ).
( (-infty, 0) cup (0, infty) )
( (-infty, infty) )
( (-infty, -2) cup (-2, 0) cup (0, infty) )
( (-infty, 2) cup (0, 2) cup (0, infty) )

Explanation:

1. Look for open circles on the graph, which indicate excluded x-values.
2. There is an open circle at $x=-2$ and an open circle at $x=0$.
3. The domain includes all real numbers except these excluded values, written as the union of intervals that cover all real numbers except $-2$ and $0$.

Answer:

$(-\infty,-2)\cup(-2,0)\cup(0,\infty)$