Question

Calculate the average rate of change for the given graph from x = 3 to x = 5 and select the correct answer below.

Courtesy of Texas Instruments

 a.5

     b.3      c.1      d.0

Answer 1

If y ou undrstand "average rate of change," you can spot the answer immediately. While x may change from 3 to 5, y begins at 0 and ends at 0.

Thus, the answer is zero.
0-0
In more detail: the ave. r. of c. would be ----------- = 0
5-3

Answer 2

Answer: The correct option is (d) 0.

Step-by-step explanation: We are given to calculate the average rate of change for the given graph from x = 3 to x = 5.

We know that

for a function y = f(x), the average rate of change from x = a to x = b is given by

`A_v=(y(b)-y(a))/(b-a).`

For the given graph, we note that

y(3) = 0 and y(5) = 0.

Therefore, the average rate of change for the given graph from x = 3 to x = 5 will be

`A_v=(y(5)-y(3))/(5-3)=(0-0)/(2)=(0)/(2)=0.`

Thus, teh required averagev rate of change is 0.

Option (d) is CORRECT.