Answer:
Average rate of change; 1
Step-by-step explanation:
[tex]g(x) = x^{2} + 10x + 20[/tex]
[tex]-9\leq x\leq 0[/tex]
1. Find the end-points of the given interval
Input (-9) and (0) into the equation.
Input (-9)
[tex](-9)^2 + 10(-9) + 20[/tex]
81 - 90 + 20
11
point is; (-9, 11)
Input (0)
[tex](0)^2 + 10(0) + 20[/tex]
0 + 0 + 20
20
point is; (0, 20)
2. Find the slope
Now find the slope between the two points, the equation for the slope is;
[tex]\frac{y_{2}-y_{1}}{x_2-x_1}[/tex]
Substitute in the points;
[tex]\frac{11-20}{0-(-9)}[/tex]
-[tex]\frac{9}{9}[/tex]
= -1
