This Demonstration shows the average rate of change for different
and
values for polynomial functions of degree 2, 3, and 4, an exponential function, and a logistic function.
Choose the polynomial of degree four and
. Select
from -2.8 to 2.8. Make a table for the
intervals in which
is negative, zero, or positive.
What is the orientation of the secant line (increasing, decreasing or horizontal) when
is negative, zero, or positive?
You found a relationship between the
value and the position of the secant line. Is this relationship also correct for the exponential function
?
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