Can you help with the 2 functions one is a graph the other is a table, the points on the graph are (6.9) ( 5.4,) (4.1),( 3.0). The numbers on the table are
X values 2, 4, 5, 6. Y values 0 6, 9, 12
What is the average rate of change for function 1 in the interval of (4,6)
What is the average rate of change for function 2 in the interval of (4,6)
Which function has the greater rate of change in the interval of (4,6)
To calculate the average rate of change for a function in a specific interval, we use the formula: (change in y)/(change in x).
For Function 1:
Given points:
(4, 1), (6, 9)
Change in y: 9 - 1 = 8
Change in x: 6 - 4 = 2
Average rate of change = (8)/(2) = 4
For Function 2:
Given points:
(4, 6), (6, 12)
Change in y: 12 - 6 = 6
Change in x: 6 - 4 = 2
Average rate of change = (6)/(2) = 3
Since the average rate of change for Function 1 in the interval (4,6) is 4, and for Function 2 it is 3, Function 1 has a greater rate of change in that interval.
Oh I think I understand but I was wondering why you chose 4,1 6,9 am I right because you had to choose the 4 from 4,1 and the 6 from the 6,9 I hope I'm not confusing you
I apologize for the confusion in my response. Let's clarify that:
For Function 1:
Given points:
(4, 1), (6, 9)
Change in y: 9 - 1 = 8
Change in x: 6 - 4 = 2
Average rate of change = (8)/(2) = 4
For Function 2:
Given points:
(4, 6), (6, 12)
Change in y: 12 - 6 = 6
Change in x: 6 - 4 = 2
Average rate of change = (6)/(2) = 3
So, the calculations I made were indeed with the points (4,1) and (6,9) for Function 1, and (4,6) and (6,12) for Function 2. The average rate of change for both functions in the interval (4,6) have been correctly calculated.