Calculate the average rate of change over the interval from x=1 to x=3

The average rate of change over the given interval is 12

Step-by-step explanation:

Here, we want to calculate the average rate of change over the given interval

Mathematically, we can calculate the average rate of change using the formula below;

f(b) - f(a)/b-a

The f values are same as the y values

Thus, we have it that;

a = 1 and b = 3

f(a) = -5 and f(b) = 19

The average rate of change is thus;

(19-(-5))/(3-1) = 24/2 = 12

c

step-by-step explanation:

for this pair of functions g(x)=x-2 and f(x)=|x| is (g o f)(a)= |a| -2

step-by-step explanation:

g(x)=x-2

f(x)=|x|

(g o f)(a)=?

(g o f)(x)=g(f(x))

(g o f)(x)=g(|x|)

(g o f)(x)=|x|-2

(g o f)(a)=|a|-2