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

$A_v=\dfrac{y(b)-y(a)}{b-a}.$

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

$A_v=\dfrac{y(5)-y(3)}{5-3}=\dfrac{0-0}{2}=\dfrac{0}{2}=0.$

Thus, teh required averagev rate of change is 0.

Option (d) is CORRECT.