Answer the following questions about the function f(:c) : 22:2 + :c 1. (3) Find the slopes of the secant lines through the following points: (0=f(0)) and (11f(1)) Slope = (0: ND) and (1/2,f(1/2)) Slope = 555 (0, MD and (1/4,f(1/4)) Slope = (0, ND) and (1/8,f(1/8)) Slope = (b) Find the average rates of change of the function over the following intervals: [07 1] ravg : [011/2] ravg : [011/4] Tang = 555 [071/8] 7'an = 55. (c) Given the slopes of the secant lines above, what do you expect the slope of the tangent line to the function f(:c) at the point (0, f(0)) to be? You might want to continue the process above with a point even closer to (0, f (0)) (Remember pressing "Preview My Answers\" will show your answer as a decimal.) Slope = (cl) What do you expect the instantaneous rate of change of f (:0) is at a: : 0? rinat