Answer:
Hence,the average rate of change for this quadratic function for the interval from x = 0 to x = 2 is:
-2
Step-by-step explanation:
The average rate of a function f(x) from x=a to x=b is given as:
[tex]=\dfrac{f(b)-f(a)}{b-a}[/tex]
Clearly we are asked to find the average rate of change from x=0 to x=2.
i.e. a=0 and b=2
Also, from the graph it could be observed that:
f(0)=1
and f(2)=-3
Hence, the average rate of change is calculated as:
[tex]=\dfrac{f(2)-f(0)}{2-0}\\\\=\dfrac{-3-1}{2-0}\\\\=\dfrac{-4}{2}\\\\=-2[/tex]
Hence,the average rate of change for this quadratic function for the interval from x = 0 to x = 2 is:
-2
