Question

The members of sets x and y are shown at the right. Draw a mapping of x and y that shows a function. Tell how you know it's a function.

Answer 1

Let's begin by identifying key information given to us:

$\begin{gathered} x=\mleft\lbrace-1,3,4,-3\mright\rbrace \\ y=\mleft\lbrace2,0,3\mright\rbrace \end{gathered}$

We observe that x has 4 inputs while y has 3 outputs. For a function, every input produces just one output

We will proceed to draw a mapping for x and y