1. Functions (10 points) (1) (3 points) Determine whether each of these functions f {a,b,c,d} → {a, b, c, d) is one-to-o

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1 Functions 10 Points 1 3 Points Determine Whether Each Of These Functions F A B C D A B C D Is One To O 1 (51.05 KiB) Viewed 41 times

1. Functions (10 points) (1) (3 points) Determine whether each of these functions f {a,b,c,d} → {a, b, c, d) is one-to-one and whether each of these functions is onto: (a) f(a)=b, f(b) = a, f(c) = c, f(d) = d (b) f(a)=b, f(b)=b, f(c)=d, f(d) = c (c) f(a)=d, f(b) = b, f(c) = c, f(d) = d (2) (3 points) Determine whether each of these functions f: R→ R is a one-to-one correspondence (i.e., onto and one-to-one): (a) -3x+4 (b) -3x² +7 (c) (x + 2)(x-1)x (3) (1 point) Find fog and gof where f, g: RR with f(x) = 3x+4 and g(x) = x². (4) (3 points) Give an example of a function from N to N that is: Hint: try using absolute value, floor, or ceiling for part (b). (a) one-to-one but not onto (b) onto but not one-to-one (c) neither one-to-one nor onto