Question

state the domain and range of each graph. use interval - notation where appropriate. 13. domain: -1,1 range: -1,3 14. domain: -1,4 range: -1,2 15. domain: -2,∞) range: -2,2 16. domain: -2,2 range: -2,2 17. domain: -6,2 range: -2 18. domain: 2 range: 1,6 19. domain: (-∞,∞) range: (-∞,∞) 20. domain: range: 21. are the domains of #19 and #20 the same? explain.

Explanation:

Step1: Recall domain and range definitions

Domain is set of all x - values, range is set of all y - values.

Step2: Analyze graph #19

The graph of #19 is a line that extends infinitely in both directions horizontally and vertically. So domain is $(-\infty,\infty)$ and range is $(-\infty,\infty)$.

Step3: Observe graph #20 (not fully shown but assume points are discrete)

If it's a set of discrete points, we need to check x - values of those points. Without seeing full graph, assume we have some discrete x - values. So domain is set of those specific x - values and not $(-\infty,\infty)$.

Answer:

No, the domain of #19 is $(-\infty,\infty)$ which means all real numbers. The domain of #20 is likely a set of specific discrete x - values (since it seems to be discrete points) and not all real numbers, so they are not the same.