Use a CAS to perform the following steps for the functions in Exercises 47–50: a. Plot...

Use a CAS to perform the following steps for the functions in Exercises 47–50:

a. Plot y = f(x) over the interval (x₀ – ½) ≤ x ≤ (x₀ + 3).

b. Holding x₀ fixed, the difference quotient

at x₀ becomes a function of the step size h. Enter this function into your CAS workspace.

c. Find the limit of q as

d. Define the secant lines for h = 3, 2, and 1. Graph them together with ƒ and the tangent line over the interval in part (a).