Rate of change for the given function is 15.
Solution:
Rate of change of function is same as the slope of the function.
The function values are given in the table.
To find the rate of change of the function:
Take the any 2 points from the table over the interval 2 ≤ x ≤ 6.
Let the points be (2, 7) and (6, 67).
[tex]x_1=2,y_1=7, x_2=6, y_2=67[/tex]
Slope formula:
[tex]$m=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]$m=\frac{67-7}{6-2}[/tex]
[tex]$m=\frac{60}{4}[/tex]
m = 15
Rate of change for the given function is 15.
