$2\mathrm{.}5$ We now examine a case where plotting a function on the computer can seriously

mislead us$.$ The function we wish to plot is: f$($x$)=$ x

$6+0\mathrm{.}1$ log$(|1+3(1$ x$)|).$ Use

$100$ points from x $=0\mathrm{.}5$ to $1\mathrm{.}5$ to plot this function in matplotlib. Do you see a dip?

Consider the function itself and reason about what you should be seeing. Then use a

much finer grid and ensure that you capture the analytically expected behavior.