Require the following discussion of a secant line. The slope of the secant line containing...

Require the following discussion of a secant line. The slope of the secant line containing the two points (x, f(x))and (x + h, f(x + h))on the graph of a function y = f(x) may be given as

In calculus, this expression is called the difference quotient of f.

(a) Express the slope of the secant line of each function in terms of x and h. Be sure to simplify your answer.

---

(b) Find msec for h = 0.5, 0.1, and 0.01 at x = 1. What value does msec approach as h approaches 0?

---

(c) Find an equation for the secant line at x = 1 with h = 0.01.

---

(d) Use a graphing utility to graph f and the secant line found in part (c) in the same viewing window.