Let ƒ(x) = x3 - x - 1. a. Use the Intermediate Value Theorem to show that ƒ has a zero...

Let ƒ(x) = x³ - x - 1.

a. Use the Intermediate Value Theorem to show that ƒ has a zero between -1 and 2.

b. Solve the equation f(x) = 0 graphically with an error of magnitude at most 10^-8.

c. It can be shown that the exact value of the solution in part (b) is

Evaluate this exact answer and compare it with the value you found in part (b).