The table defines a quadratic function
What is the average rate of change between x=-1 and x=1
x|y
-1|5
0|1
1|-1
3|1
Please explain :/ by the way it already says the answer is -3 i just don't know how.
What is the average rate of change between x=-1 and x=1
The average rate of change between x=-1 and x=1 of the quadratic function given in the table is -3.
To find the average rate of change between two points, we use the formula:
Average Rate of Change = (change in y) / (change in x)
In this case, we want to find the average rate of change between x = -1 and x = 1.
First, we need to find the change in y. To do this, we subtract the y-coordinate at x = -1 from the y-coordinate at x = 1:
Change in y = (-1) - 5 = -6
Next, we find the change in x. It is simply the difference between the two x-coordinates:
Change in x = 1 - (-1) = 2
Now, we can calculate the average rate of change by dividing the change in y by the change in x:
Average Rate of Change = -6 / 2 = -3
Therefore, the average rate of change between x = -1 and x = 1 is -3.
y goes from 5 to -1 ... a change of -6
x goes from -1 to 1 ... a change of 2
-6 / 2 = -3