EXPLANATION
As the average velocity equation is:
[tex]v_{ave}=\frac{s(t)-s(a)}{t-a}[/tex]
And as a=2, by plugging in the different values of t, from greater to smaller the function tends to 12, because the limit is 12.
For example, when t=2.1, the value of s(t) should be 11.23, as shown as follows:
[tex]12.300000=\frac{s(t)-10}{2.1-2}[/tex]
Isolating s(t):
[tex]12.300000(2.1-2)=s(t)-10[/tex][tex]12.300000\cdot0.1=s(t)-10[/tex][tex]1.23=s(t)-10[/tex][tex]1.23+10=s(t)[/tex][tex]11.23=s(t)[/tex]
