Respuesta :

1) find the corresponding y values for when x = 0 and when x = 4,
when x = 0, y = 4
when x = 4, y = 4

the coordinates are (0,4) and (4,4)

2) to calculate the average rate of change, find the slope of the two points:

(0,4) (4,4)

(change in y) 4 - 4 = 0
(change in x) 4 - 0 = 4

0/4 = 0

the average rate of change is 0!

The average rate of change from x = 0 to x = 4 is 0.

To find the average rate of change, we divide the change in y (output) by the change in x (input).  

The average rate of change=Δy/Δx

From the graph we see that

if x=0 then y=4 and

if x=4 then y=4

The average rate of change

[tex]=\frac{4-4}{4-0}\\=\frac{0}{4} \\=0[/tex]

Therefore, the average rate of change from x = 0 to x = 4 is 0.

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