Answer:
The average rate of change is -6
Step-by-step explanation:
The formula for average rate of change is
[tex]=\frac{f(x_2)-f(x_1)}{x_2-x_1}[/tex]
where
x₁=-1 and x₂=2
In this case we replace f(x) with z(x)
Substitute values of x₁ and x₂ in the formula given the function as
[tex]z(x)=-6x+2+3\\z(x)=-6x+5\\\\\\=\frac{z(x_2)-z(x_1)}{x_2-x_1} \\\\\\z(x_1)=z(-1)=-6*-1+5=6+5=11\\\\\\z(x_2)=z(2)=-6*2+5=-12+5=-7\\\\\\x_2-x_1=2--1=3\\\\Rateofchange=\frac{-7-11}{3} =\frac{-18}{3} =-6[/tex]
