Provided function f(x)=x^3 - 2*x + 1. Let c1=-1, c2=0. a. Compute f(c1). Find slopes of the secant lines connecting (x,f(x)) and (c1,f(c1)), using the list of x-values: [-1.5, -1.3, -1.1, -0.9, -0.7, -0.5]. b. Compute f(c2). Find slopes of the secant lines connecting (x,f(x)) and (c2,f(c2)), using the list of x-values: [-0.5, -0.3, -0.1, 0.1, 0.3, 0.5]. c. Evaluate slope of tangent at c1, and similarly at c2. Explain the observations. d. Graph function, along with line equations of evaluated tangents through points (c1,f(c1)) and (c2,f(c2)).