Determine which function has the greater rate of change in problems 1−3.
The rates of change are equal.
• The graph has a greater rate of change.
• The table has a greater rate of change.
• none of the above
None of the above.
To determine which function has the greater rate of change in problems 1-3, you can compare the values from both the graph and the table.
1. Start by looking at the graph of each function. Compare the steepness of the lines or curves. A steeper line indicates a greater rate of change.
2. Next, examine the table of values for each function. Look for consecutive values and calculate the differences between them. If the differences are larger in one table compared to the other, it suggests a greater rate of change.
3. Compare the results from the graph and the table. If both the graph and the table show the same pattern of greater changes for one function compared to the other, then you can conclude that the function with the greater changes has the greater rate of change.
Based on this process, if the rates of change are equal, the correct answer would be "The rates of change are equal."