In this case, we'll have to carry out several steps to find the solution.
Step 01:
f(x) = 4x - 2
interval [2, 4]
average rate of change = ?
Step 02:
x = 2
f(2) = 4(2) - 2 = 8 - 2 = 6
x = 4
f(4) = 4(4) - 2 = 16 - 2 = 14
[tex]\frac{\Delta y}{\Delta x}=\frac{f(x2)\text{ -f(x1)}}{x2-x1}[/tex][tex]\frac{\Delta y}{\Delta x}=\frac{14-6}{4-2}=\frac{8}{2}=4[/tex]The answer is:
The average rate of change is 4.
