Matching function graphs and tables

A function can be represented by graphs, tables and equation. Each of these representations of function have their own strengths and limitations. So an indicator of understanding of function is knowledge of the link between representations. The following problem tests your understanding of function represented in graphs and tables. In the question, the graph is not on a grid to encourage you to think in terms of the properties of the function in each of the representation. If I am your teacher your marks will depend upon the sophistication of thinking you show in the solution and not simply on getting the correct response. The general instruction in the test to which this item is a part is to show different ways of solving and explaining the response.

Solution worth 3/5 marks – by plotting the values in the table

Solution worth 5/5 marksHere’s a problem that involve determining the equation of graphs of functions.