Answer:
-4 is the average rate of change from 3 to 4
Step-by-step explanation:
Given that
[tex]f(x) =( -5)^{x-3} +2[/tex]
Average rate of change is defined as the fraction of change in f(x) value to change in x value.
Here we have x values as 3 and 4.
To find the average rate of change from x=3 to x=4
Average rate of change = change in f(x)/change in x
Change in x = 4-3 =1
[tex]f(4) = -5^{4-3} +2 = -3\\f(3) = 1\\f(4)-f(3) = -3-1 =-4[/tex]
Average rate of change = -4/1 = -4
