Question

This table shows values that represent an exponential function.х011124IM کے8416532664What is the average rate of change for this function for the interval from x= 2to x = 42

Answer 1

change the question is: What is the average rate of change for this function for the interval from x= 2 to x = 4, the average rate of change is:

$\frac{y2-y1}{x2-x1}$

with the points (x1,y1) and (x2,y2)

in this case, when x=2 y= 4 so the point is (2,4)

and when x=4 y=16 (I'm seeing this from the table in the image)

so the points are (2,4) and (4,16)

$\frac{16-4}{4-2}=\frac{12}{2}=6$

so the answer is:

the average rate of change for this function for the interval from x= 2

to x = 4 is = 6