2. Let a E R. For every function f defined at least on an interval centred around a, we say th f is a reindeer at a if lim f(a+h) f(a-h) 2h +0+-V exists. Determine whether each of the statements in (a) and (b) below is true or false. If you think statement is true, prove it; if you think a statement is false, justify this with a counterexampl (a) Iff is differentiable at a, then f is a reindeer at a. (b) If f is a reindeer at a, then f is differentiable at a. 3. Let be a function given by f(x) = where there are 2002 powers of 2 in total. Find the equation of the line tangent to the graph of f at the point with z-coordinate 0. 4. Let f be the function given by f(x)=1372+x+1. The graph is given below. Based on the graph, answer the following questions. For this question only, you do not need to formally justify your answer. Please summarize your reasoning in just one sentence or two. (a) Find the largest interval I containing 1 on which f is one-to-one. Denote by Elf, the inverse function of the restriction of f to I. What are the domain and range of Elf?