Question

The table below shows the function f.

Determine the average rate of change of the given function.
A.

B.

C.

D.

Answer 1

the average rate of change is -1/6 per unit increase in x

Explanation:

Looking at the table, we see that for each unit change in x, y decreases by 1/6. Thus, the average rate of change is -1/6 per unit increase in x.

Answer 2

Answer with explanation:

Average rate of Change

`=(f(x_(2))-f(x_(1)))/(x_(2)-x_(1))\\\\=((25)/(3)-(17)/(2))/(4-3)\\\\=(50-51)/(6*1)\\\\=(-1)/(6)`

You can find average rate of change by taking any two distinct points on the curve.

Option B