Question

What is the average rate of change for this quadratic function for the interval from x = 0 to x = 2? A. –2 B. 2 C. 4 D. –4

Answer 1

Answer: -2

Explanation:

Answer 2

Hence,the average rate of change for this quadratic function for the interval from x = 0 to x = 2 is:

-2

Explanation:

The average rate of a function f(x) from x=a to x=b is given as:

`=(f(b)-f(a))/(b-a)`

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:

`=(f(2)-f(0))/(2-0)\\\\=(-3-1)/(2-0)\\\\=(-4)/(2)\\\\=-2`

Hence,the average rate of change for this quadratic function for the interval from x = 0 to x = 2 is:

-2