Given y = f(x), the [Select] at the point of (a, f(a)) is given by f(a+h) - f(a) h provided the limit exists. In this case, the [Select] lim h→0 of the graph line to the graph is the line through (a, f(a)) with slope given by the limit.

4. A function is defined to be. (b) If we chose c as in part (a), is g continnons at z 17 Explain why or why not. ア+c if r>1 9(1) = 1. if 7= 1 2r-3 if I<1 (a) Choose the constant c so that lim g(r) エー1 exists.

6. The function f(x) is defined by the graph. State the value of each: c) lim f(x) = x →-1 d) f(4) =

Draw a graph of a function that satisfies all the following criteria: a) lim, 2 f(x) does not exist. b) lim, 0- f(x) = -0 c) lim,0+ f(x) = ∞ d) f (2) = 3