Draw the graph of the function y = f(x) = 4/x between x = 1/2 and x = 4. f(x) f(x) 8/ 2 2 2 3 4 5 2 3 4 5 f(x) f(x) 8/ 4 4 2 - 3 2 3 4 5 2 O Find the slope of the line between the following points. (a) x = 3 and x = 3.1 (b) x = 3 and x = 3.01 c) x = 3 and x = 3.001 Now use algebra to find a simplified rational expression for the slope of the line between (3, f(3)) and (3 + h, f(3 + h)), (h # 0). (Simplify your answer completely.) What do these slopes tend toward as h is made closer and closer to 0? 23 Tutorial