4.4k views
3 votes
A relation shows you the connections between the domain (x-values) and the range

(y-values)
True or False

1 Answer

7 votes

Final answer:

The statement is true; a relation indeed shows the connections between the domain (x-values) and the range (y-values), which can be represented graphically as a line graph, with the domain on the x-axis and the range on the y-axis.

Step-by-step explanation:

The statement that a relation shows you the connections between the domain (x-values) and the range (y-values) is True. In mathematics, especially when dealing with functions and their graphical representations, the domain refers to the set of all possible x-values or independent variables, while the range refers to the set of all possible y-values or dependent variables that correspond to the domain.

In a two-dimensional data plot, which is commonly represented as a line graph, the horizontal axis (x-axis) displays the domain and the vertical axis (y-axis) displays the range. The points plotted on the graph show the relationship between the x-values and y-values, usually indicating how the value of the dependent variable (y) changes in response to the value of the independent variable (x).

For example, when dealing with linear relationships, the equation of a line in the form y = b + mx (where m is the slope and b is the y-intercept), expresses the relationship between x and y graphically. It's important to note that in cases where the relationship depicted on the graph shows a significant linear trend, and the correlation coefficient (r) is significant, we can use the line to predict the y-values for x-values that are within the observed domain.

User Abdul Alim Shakir
by
7.5k points