key term - Y-value

Definition

The y-value, also known as the ordinate, refers to the vertical coordinate of a point on a graph. It represents the value or measurement along the y-axis, which is typically the vertical axis in a two-dimensional coordinate system.

5 Must Know Facts For Your Next Test

1. The y-value is essential in understanding the behavior and characteristics of a graph, as it provides information about the vertical position of a point on the coordinate plane.
2. Analyzing the y-values of a graph can help determine the rate of change, the maximum or minimum values, and the overall shape and trend of the function.
3. In the context of rates of change, the y-value represents the dependent variable, which changes in response to changes in the independent variable (x-value).
4. The y-value is crucial in interpreting the meaning and significance of a graph, as it relates to the specific measurement or quantity being represented on the vertical axis.
5. Understanding the relationship between x-values and y-values is fundamental in analyzing the behavior of graphs and making inferences about the underlying function or relationship being depicted.

Review Questions

• Explain how the y-value of a point on a graph is related to the behavior and characteristics of the graph.
  • The y-value of a point on a graph is directly related to the behavior and characteristics of the graph. The y-value represents the vertical position or measurement of the point, which provides information about the function or relationship being depicted. By analyzing the y-values, you can determine the rate of change, identify maximum or minimum values, and understand the overall shape and trend of the graph. The y-value is a crucial component in interpreting the meaning and significance of a graph, as it relates to the specific quantity or measurement being represented on the vertical axis.
• Describe the role of y-values in the context of rates of change and how they relate to the dependent variable.
  • In the context of rates of change, the y-values represent the dependent variable, which changes in response to changes in the independent variable (x-value). The y-value reflects the specific measurement or quantity being measured on the vertical axis, and its relationship to the x-value determines the rate of change. By analyzing the changes in y-values, you can calculate the slope or rate of change, which provides insights into the behavior and characteristics of the function or relationship being represented on the graph.
• Analyze the significance of the relationship between x-values and y-values in understanding the behavior of graphs.
  • The relationship between x-values and y-values is fundamental in analyzing the behavior of graphs and making inferences about the underlying function or relationship being depicted. The x-values represent the independent variable, while the y-values represent the dependent variable. By understanding how changes in the x-values correspond to changes in the y-values, you can interpret the overall shape, trend, and characteristics of the graph. This relationship is crucial in understanding the meaning and significance of the graph, as well as making predictions or drawing conclusions about the function or relationship being represented.

Related terms

x-value: The x-value, or abscissa, is the horizontal coordinate of a point on a graph, representing the value or measurement along the x-axis.

Coordinate Plane:

A coordinate plane is a two-dimensional grid used to represent and locate points, where the x-axis represents the horizontal dimension and the y-axis represents the vertical dimension.

Slope:

Slope is a measure of the steepness or incline of a line, calculated as the change in y-values (rise) divided by the change in x-values (run).