Let f : {0, 1}2 → {0, 1}³. f(x) = x0, i.e., append a '0' to the end of string 'x'. What is the range of the function? Is f one-to-one? Justify your answer. Is f onto? Justify your answer. Is fa bijection? Justify your answer.

Consider functions f:{1,2,3,4,5,6,7}→{a,b,c,d,e,f}. How many functions have the property that f(1)≠c or f(2)≠f?

= mx + b. 4. Let m and b be real numbers, and consider the following three functions: f(x) = 2x + 1, g(x) x + 2, and h(x) A. If function f has a codomain of (5, 7) U (7, 9), the largest its domain can be chosen is (2, 3) U (3, 4). Explain. B. If function g has a codomain of (−1, 1) U (1, 3), the largest its domain can be chosen is (-3, 3) U (3, 9). Explain. C. Within the context of the e- definition of a limit, your result from part A suggests that if € is equal to 2, the largest that can be chosen for function f(x) is 1. Explain. =

Consider the functions f: [7] to [9].  How many of these functions have a range of {5,6}?