Problem $2$:

Consider the following graph:

a$)$ Draw the secant line that would represent the average rate of change between $\backslash ($ x$=2\backslash )$ and $\backslash ($ x$=14\backslash ).$

b$)$ Draw the tangent line at $\backslash ($ x$=2\backslash ).$

c$)$ Estimate the instantaneous rate of change at $\backslash ($ x$=2\backslash ).$

d$)$ Compare your answers for b and c$.$ Could you find a real$-$life example of a function that evolves in such a manner?