Activities
Use a graphics
calculator to find intercepts, stationary points and points of inflection
Consider each of the following functions:
Using a graphics calculator, sketch
the graph of the function and mark and label (accurate to two decimal places)
the:
-
intercepts with the axes
-
stationary points
-
points of inflection (both horizontal
and oblique).
There are two ways to find a point of
inflection:
-
find the a maximum or minimum point
on the graph of the first derivative
-
find where the graph of the second derivative
intersects the x-axis.
You may prefer to use these pre-drawn
graphs of function, first derivative and second
derivative.
Solutions