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:

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:

$=\dfrac{f(b)-f(a)}{b-a}$

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:

$=\dfrac{f(2)-f(0)}{2-0}\\\\=\dfrac{-3-1}{2-0}\\\\=\dfrac{-4}{2}\\\\=-2$

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

-2

Answer 2

Answer: -2

Step-by-step explanation: