Final Answer:
1) Domain: $[-2, 2]$, Range: $(-\infty, 2] \cup \{4\}$, Function? no
2) Domain: $[-5, 5]$, Range: $[-3, 3]$, Function? yes, continuous
3) Domain: $(-\infty, \infty)$, Range: $(-\infty, \infty)$, Function? yes, continuous
4) Domain: $(-\infty, \infty)$, Range: $\{2\}$, Function? yes, continuous
5) Domain: $\{-3, -1, 2, 5\}$, Range: $\{-4, 1, 4\}$, Function? yes, discrete
6) Domain: $(-\infty, 5]$, Range: $[0, \infty)$, Function? yes, continuous
7) Domain: $[-2, 2]$, Range: $[-2, 2]$, Function? no
8) Domain: $[-5, 5]$, Range: $[0, \infty)$, Function? yes, continuous
9) Domain: $(-\infty, 5)$, Range: $(-\infty, 3)$, Function? yes, continuous
10) Domain: $(-\infty, \infty)$, Range: $[-3, \infty)$, Function? yes, continuous
11) Domain: $(-4, 3)$, Range: $(-\infty, 2)$, Function? yes, neither (has open/closed points but still a function — actually *continuous* on its domain? Wait: open circles at endpoints mean not defined there, but the graph is unbroken between — so it’s continuous on its domain. However, standard classification in such worksheets treats graphs with only open/closed points as *neither* if they’re piecewise with gaps or jumps. Looking carefully: left ray starts open at (-4,-3), goes up to open circle at (0,2); then another segment from open circle (0,2) to closed (2,0), then ray down from (2,0). There’s a break at x=0 (both ends open), so not continuous. So: Function? yes, neither.)
→ Correct: Function? yes, neither
12) Domain: $[-4, 4]$, Range: $[-2, 3]$, Function? no
Parent Tip: Review the logic above to help your child master the concept of domain and range worksheet.
