Answer:
Step-by-step explanation:
We need to evaluate the function at 2 and 6 and then find the average rate of change between those 2 points, which is the slope.
[tex]f(2)=2^2+3(2)-2[/tex] so f(2) = 8 and the coordinate is (2, 8).
[tex]f(6)=6^2+3(6)-2[/tex] so f(6) = 52 and the coordinate is (6, 52).
Now we can use those coordinates in the slope formula:
[tex]m=\frac{52-8}{6-2}[/tex] and
[tex]m=\frac{44}{4}[/tex] so
m = 11
