Final answer:
The rate of change of a function is known as its derivative. To determine the rate of change of the function described in the table, calculate the slope of the line connecting two points on the graph. The answer is Option C) 1.
Step-by-step explanation:
The rate of change of a function is known as its derivative. To determine the rate of change of the function described in the table, you can calculate the slope of the line connecting two points on the graph. The difference in the y-values divided by the difference in the x-values will give you the rate of change, which represents how the dependent variable changes for each unit change in the independent variable.
For example, if the table shows the x-values 1, 2, and 3, with corresponding y-values of 2, 4, and 6, the rate of change would be (6-2)/(3-1), which is 2. Therefore, the correct answer is Option C) 1.