Question

1. express {(4, 3), (-1, 4), (3, -2), (-2, 1)} as a table, a graph, and a mapping. then determine the domain and range.

describe what is happening in each graph.

1. the graph below represents the height of a tsunami as it travels across an ocean.
2. the graph below represents a student taking an exam.

express the relation shown in each table, mapping, or graph as a set of ordered pairs.
4.
x y
0 9
-8 3
2 -6
1 4
5.
6.

1. baseball the graph shows the number of home runs hit by andruw jones of the atlanta braves. express the relation as a set of ordered pairs. then describe the domain and range.

Explanation:

1.

Step1: Recall domain and range definitions

The domain is the set of all x - values and the range is the set of all y - values in a relation.
For the relation \(\{(4,3),(-1,4),(3, - 2),(-2,1)\}\), the domain \(D=\{4,-1,3,-2\}\) and the range \(R = \{3,4,-2,1\}\).
The table has two columns, one for the x - values and one for the y - values. The graph has points \((4,3),(-1,4),(3,-2),(-2,1)\) plotted on a coordinate plane. The mapping shows arrows from each x - value in the left set (domain) to its corresponding y - value in the right set (range).

Step1: Analyze the graph

The graph of the height of a tsunami over time shows that as time increases, the height of the tsunami is increasing. This could imply that the tsunami is approaching the shore or some other factor is causing its height to grow as it travels across the ocean.

Step1: Interpret the graph

The graph of the number of questions answered by a student over time shows intervals where the number of questions answered is increasing steadily (the slanted parts of the graph) and intervals where the number of questions answered is not changing (the horizontal parts of the graph). The horizontal parts likely represent times when the student pauses, perhaps to think or read a question more carefully.

Answer:

Domain: \(\{4,-1,3,-2\}\), Range: \(\{3,4,-2,1\}\)
2.