Please solve so that I can learn.

Problem 2. Let H be the class of functions of the form hay, : R > {0,1}, ha,b(x) = ll{:L' E [a, 5]}, for all (1,!) E R. In this excercise our goal is to show that VCdim(H)= 2. 1. Recall that given a set C = {01,c2, . .. ,ck} C R, the restriction of H to C, denoted by H0, is the set of all the binary ktuples that can be derived from evaluating the functions in H on the set 0. That is, \"Ho = {(h(cl),h(02), - ~ ,h(c,,)), h e H}. Compute Hg for C = {1,2} and C = {1,2, 3}. 2. For any set C with |C| = 2, show that |HC| = 4. Also, can we say that for any set C with |C| = 3 we have chl