Question

Given the tunction

Answer 1

Answer:

-1

Step-by-step explanation:

Given function:  $f(x)=-x^2+4x-3$

$\implies f(-2)=-(-2)^2+4(-2)-3=-15$

$\implies f(7)=-(7)^2+4(7)-3=-24$

$\textsf{Average rate of change}=\dfrac{f(b)-f(a)}{b-a}\quad\textsf{for}\:a\leq x\leq b$

Therefore, average rate of change over the interval -2 ≤ x ≤ 7

$\implies \textsf{Average rate of change}=\dfrac{f(7)-f(-2)}{7-(-2)}=\dfrac{-24-(-15)}{9}=-1$