Question

Given the function f(x) = x² + 3x - 2

Answer 1

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.

$f(2)=2^2+3(2)-2$ so f(2) = 8 and the coordinate is (2, 8).

$f(6)=6^2+3(6)-2$ so f(6) = 52 and the coordinate is (6, 52).

Now we can use those coordinates in the slope formula:

$m=\frac{52-8}{6-2}$ and

$m=\frac{44}{4}$ so

m = 11