Answer:
-6
Step-by-step explanation:
The formula for finding the rate of change is:
[tex]Rate\ of\ change=\frac{f(b)-f(a)}{b-a}[/tex]
The interval is [1,5]
So, a = 1 and b=5
[tex]f(1) = 17 - (1)^2\\ =17-1\\=16\\f(5) = 17-(5)^2\\=17-25\\=-8[/tex]
Putting in the values
[tex]Rate\ of\ change = \frac{f(5)-f(1)}{5-1} \\=\frac{-8-16}{5-1}\\= \frac{-24}{4}\\ =-6[/tex]
The average rate of change is -6 ..
