Each
of the following pictures shows the graph of the derivative of a function,
y
= f'(x).
On the same
axes, sketch a reasonable approximation to the graph of the original function,
y = f(x).
(You'll
probably have to print the page first, unless you can load it into a drawing
program.)
If you have
a reasonable answer, you can get another reasonable answer by adding 5,
or any other constant, to your first answer.
So pick
a function f whose graph passes through the origin.
Then
look at the formulas and ask the calculator
to graph the original function and its antiderivative
to see how close you got.
Although
you can go to the
Y= screen and sety1(x)=f(x)
and y2(x)=d
(f(x),x,-1), the graphing will go much faster
if you compute the
antiderivative on
the HOME screen and store
the answer in y2(x). Apparently if use y2(x)=d (f(x),x,-1)
the calculator recalculates the antiderivative whenever it plots a point.
