7/3
2nd Question)
The average rate of change is defined as:
And this can be found by the following formula:
[tex]\Delta=\frac{f(b)-f(a)}{b-a}[/tex]
So let's pick two points and plug them into this formula, examining the given graph of that function:
Chosen Points: (2,6) and ( 0,-1)
[tex]\begin{gathered} \Delta=\frac{f(b)-f(a)}{b-a} \\ \Delta=\frac{f(2)-f(0)}{2-(-1)}=\frac{6-(-1)}{2-(-1)}=\frac{7}{3} \end{gathered}[/tex]
Hence, the average rate of this function is 7/3
