Math 115  Lab #4
M. Flashman

I. Entering Functions.
II. Increasing and decreasing functions.
III. Functions and Slopes of Secant Lines.

I.Entering Functions. Demonstration.

II. Increasing and decreasing functions.
*
Example:
Consider the function
f
  where  f(x) = 2x3 - 5x2 - x + 4 with x in the domain [-5, 5].

Record your answers for the next work and submit them on Moodle by Wednesday, Feb. 17

For each of the following functions determine approximately the interval(s) where the function is increasing on the domain [-5, 5].

III. Functions and Slopes of Secant Lines.

Basic Terminology:
If  a line passes through a curve at two distinct points,
                    the line is described as a secant (cutting) line.

We will investigate secant lines determined by two points on the graph of functions. In particular, your task will be to find the slopes of these lines, using Winplot.

Example: Consider the function
f where f(x) =-5x2 - 3x + 4.

Record your answers for the next work and submit them on Moodle by Wednesday, Feb. 17

For
                    f(x) = -x3 + 3x2 - 4  
find the slopes of secant lines passing through the point
(1, f (1)) and each of the following points:
End of Lab 4