1) Approximating slopes of tangent lines using the process shown last week for the function f(x) = 3-x at the point (2, -1). Using a straightedge, draw a tangent line as accurately as possible at
the point (2, - 1). Then draw a secant line through the points (2, -1) and (3, -6). We will refer to that as
the right secant line. Draw another secant line, this time through the points (1, 2) and (2, - 1). This is the
left secant line. Answer the following questions.
a. What is the slope of the left secant line?
b. What is the slope of the right secant line?
c. Using the results above, fill in the blanks with numerical values:
< slope of tangent line <
d. Based on the foregoing, what is your best numerical estimate of the tangent line.