1. Provided the function f(x)=x^3 - 2*x + 1. Let x1=-2, x2=-1, x3=0.
a. Compute f(x1), f(x2), and write the slope of the secant line connecting (x1,f(x1)) and (x2,f(x2))
b. Write the equation of secant line of part a
c. Compute f(x3), and write slope of secant line connecting (x1,f(x1)) and (x3,f(x3))
d. Write the equation of secant line of part c
e. Graph function and 2 secant lines together in one graph
f. Explain your observations. Where do significant intervals naturally happen for this function (approximately)?