Solution
- The formula for the rate of change of a function is:
[tex]\begin{gathered} m=\frac{f(b)-f(a)}{b-a} \\ where, \\ b,a\text{ are the }x-values\text{ of the function }f(x) \end{gathered}[/tex]
- We can apply the formula as follows:
[tex]\begin{gathered} a=1,b=-3 \\ f(-3)=-3 \\ f(1)=5 \\ \\ \therefore m=\frac{f(-3)-f(1)}{-3-1}=\frac{-3-5}{-3-1}=-\frac{8}{-4} \\ \\ m=2 \\ \end{gathered}[/tex]
Final Answer
The rate of change is 2
