Question

Mean Value Theorem

Consider the graph of the function

(see figure).

(a) Find the equation of the secant line joining the points .

(b) Use the Mean Value Theorem to determine a point c in the interval such that the tangent line at c is parallel to the secant line.

(c) Find the equation of the tangent line through c.

(d) Use a graphing utility to graph f, the secant line, and the tangent line.