The function y = f ( x ) y=f(x) y=f(x) is graphed below. What is the average rate of change of the function f ( x ) f(x) f(x) on the interval − 5 ≤ x ≤ 3 -5\le x \le 3 −5≤x≤3? 1 2 3 4 5 6 7 8 9 10 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 2 4 6 8 10 12 14 16 18 20 -2 -4 -6 -8 -10 -12 -14 -16 -18 -20
( final y - initial y ) / ( final x - initial x )
To find the average rate of change of a function on a specific interval, you need to calculate the slope of the line connecting the two endpoints of the interval.
In this case, the interval is -5 ≤ x ≤ 3, so we need to calculate the slope between the points (-5, f(-5)) and (3, f(3)).
To find the average rate of change, we use the formula:
Average rate of change = (f(3) - f(-5))/(3 - (-5))
To determine the values of f(-5) and f(3), we need to look at the graph of the function provided.
Since the graph is not given in the question, it becomes impossible to determine the exact values of f(-5) and f(3) or to calculate the average rate of change of the function on the given interval.