Answer to Question #47438 in Calculus for Bella

Question

1. Let A={1,2,3,4} and B={a,b,c}.
(i) Write down a function from A to B
(ii) Write down a different function from A to B
(iii) Write down a relation from A to B which is not a function
(iv) How many functions are there from A to B?

2. Determine whether each of the statements that follow are true or false. If the statement is true, give a reason. If it is false, give a counterexample (i.e. a function for which the statement is false)
(i) The domain of every function is a subset of R.
(ii) If f:R=>R is a function and xER then f(2x) = 2f(x)
(iii) If h:A=>B is a function and a, bEA then h(a) = h(b) implies that a=b